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Paper Citation Record · LEDGER

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$

As of 10 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2502.09115.

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pith.paper-citation-record.v1
2502.09115 v2

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T22:41:43.914114Z

measured 27 of 27 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

27 of 27 outbound references displayed

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External citation measurements

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Outbound references

Observation 683871a6-68a3-4b48-b075-06b0f0e918d2 · outbound

This paper cites Gross, R.D.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Gross, R.D

Reference 1

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Observation 0b1dbe2c-73f6-4223-91a1-1d652d42b89e · outbound

This paper cites Weiss,The Effective Potential for the Order Parameter of Gauge Theories at Finite Temperature,Phys.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Weiss,The Effective Potential for the Order Parameter of Gauge Theories at Finite Temperature,Phys

Reference 2

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source=pdf_text observed=2026-08-07T22:41:43.799333Z digest=sha256:c8ca955732c2a0a59d30f6a9e3901fdc420d1aee3f8d3a480ac6f26e0b4b0610

Observation 4f9744ff-c038-43c4-a1c6-5972735e3b30 · outbound

This paper cites Witten,Large N Chiral Dynamics,Annals Phys.128 (1980) 363.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Witten,Large N Chiral Dynamics,Annals Phys.128 (1980) 363

Reference 3

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Observation cbbbb30e-74ac-480a-b17a-8b869ad9f459 · outbound

This paper cites Theta Dependence In The Large N Limit Of Four-Dimensional Gauge Theories.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Theta Dependence In The Large N Limit Of Four-Dimensional Gauge Theories

Reference 4

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source=pdf_text observed=2026-08-07T22:41:43.808778Z digest=sha256:140ac22dbe4eed1747672637277b79c51a3ccb3d2ff1f36f5245ca096bc203b9

Observation b5f736d1-72cf-4d10-b6c5-d5f75f9a0b16 · outbound

This paper cites Notes on Theta Dependence in Holographic Yang-Mills.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Notes on Theta Dependence in Holographic Yang-Mills

Reference 5

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source=pdf_text observed=2026-08-07T22:41:43.813835Z digest=sha256:cf753cb4c3a087112ceadc6ab0e482160bedbe299cae508bc2da709e39e97fb1

Observation 5d4ea6dc-0f8b-4a6a-b8bc-66e297677161 · outbound

This paper cites Deconfinement and CP-breaking at $\theta=\pi$ in Yang-Mills theories and a novel phase for SU(2).

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Deconfinement and CP-breaking at $\theta=\pi$ in Yang-Mills theories and a novel phase for SU(2)

Reference 6

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source=pdf_text observed=2026-08-07T22:41:43.818812Z digest=sha256:d009794306f85a87df4548743d636dbd9448b2c9ed5be07df0284237fca49fd1

Observation d3e7575f-4a1b-4096-84c1-fa72363f67f3 · outbound

This paper cites A new technique for solving the freezing problem in the complex Langevin simulation of 4D SU(2) gauge theory with a theta term.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ A new technique for solving the freezing problem in the complex Langevin simulation of 4D SU(2) gauge theory with a theta term

Reference 7

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T22:41:43.824031Z digest=sha256:83d5090261815520457ac1728e5a67a0f8e4cf0b559f12bdd81e9fae9d58752e

Observation c555d2b8-bb41-4b00-a397-a46ac013e998 · outbound

This paper cites The electric dipole moment of the neutron from 2+1 flavor lattice QCD.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ The electric dipole moment of the neutron from 2+1 flavor lattice QCD

Reference 8

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verified exact
local_arxiv, observed 2026-08-07T22:41:44.241966Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T22:41:43.828952Z digest=sha256:6524626a883e68ae5e424ed4539ef9c26aebc879fb05f56b8796b6358fd117ec

Observation b4899d7c-e6bd-4e1d-ae93-3e442f95d418 · outbound

This paper cites The electric dipole moment of the nucleon from simulations at imaginary vacuum angle theta.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ The electric dipole moment of the nucleon from simulations at imaginary vacuum angle theta

Reference 9

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local_arxiv, observed 2026-08-07T22:41:44.220011Z

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source=pdf_text observed=2026-08-07T22:41:43.833770Z digest=sha256:8845f9e05e23b5d3bf4502b6261d95be74b7f16d6f8b2a13198432936dfe466a

Observation b44c2557-eb2a-4939-968d-d4032307faff · outbound

This paper cites The 4D SU(3) gauge theory with an imaginary theta term.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ The 4D SU(3) gauge theory with an imaginary theta term

Reference 10

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source=pdf_text observed=2026-08-07T22:41:43.838778Z digest=sha256:5f264a77654600210e1b3e81e15f93123de955cf6f1cb26e566e2a07eb589dbc

Observation 53ae8925-2e68-4c23-9159-247f771159b0 · outbound

This paper cites Theta dependence of the deconfinement temperature in Yang-Mills theories.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Theta dependence of the deconfinement temperature in Yang-Mills theories

Reference 11

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source=pdf_text observed=2026-08-07T22:41:43.843015Z digest=sha256:8aba9100234d24d03e0ea4b02657cf7aea1e00bfa045892e5a740be0485f143c

Observation d857de51-9e74-42a4-b054-e2076642b589 · outbound

This paper cites Phase diagram of Yang-Mills theories in the presence of a theta term.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Phase diagram of Yang-Mills theories in the presence of a theta term

Reference 12

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source=pdf_text observed=2026-08-07T22:41:43.847371Z digest=sha256:022f526c3255519180102c392584a9ed17739074feb70f0894fce49c7a8dc830

Observation 96220cc2-973e-4f38-aecf-1f55f1ce6414 · outbound

This paper cites $\theta$ dependence in $SU(3)$ Yang-Mills theory from analytic continuation.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ $\theta$ dependence in $SU(3)$ Yang-Mills theory from analytic continuation

Reference 13

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source=pdf_text observed=2026-08-07T22:41:43.851577Z digest=sha256:db0ef013720fb44100350a35b8a4ceac3a760d190e73fdfd17606c8f879982e4

Observation 2a5f153c-cf10-48fc-a39c-95b5b663c1fc · outbound

This paper cites $\theta$ dependence of 4D $SU(N)$ gauge theories in the large-$N$ limit.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ $\theta$ dependence of 4D $SU(N)$ gauge theories in the large-$N$ limit

Reference 14

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source=pdf_text observed=2026-08-07T22:41:43.855802Z digest=sha256:c093e7487fc85024c99fef1deac255ff0ff6e63e1bc1c6fd0d33804295e5da80

Observation 3b977263-ee4e-405a-8135-6158fac2b0f2 · outbound

This paper cites The $\theta$-dependence of the $\mathrm{SU}(N)$ critical temperature at large $N$.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ The $\theta$-dependence of the $\mathrm{SU}(N)$ critical temperature at large $N$

Reference 15

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source=pdf_text observed=2026-08-07T22:41:43.859763Z digest=sha256:52fa79040aa481a67740883cac27c5e3698a515ba2ca8384df79bd597d076e76

Observation e7467c6f-e9bd-4b43-8dc6-a113f3afc74a · outbound

This paper cites The $\theta$-dependence of the Yang-Mills spectrum from analytic continuation.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ The $\theta$-dependence of the Yang-Mills spectrum from analytic continuation

Reference 16

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source=pdf_text observed=2026-08-07T22:41:43.863853Z digest=sha256:cc3b5c07455d207d60b46f7a853d666a1f295de586e7f06c676d9c01f7d8a495

Observation 776b6a43-e87d-4cba-8741-b0c9fa2e9c58 · outbound

This paper cites Analytic Smearing of SU(3) Link Variables in Lattice QCD.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Analytic Smearing of SU(3) Link Variables in Lattice QCD

Reference 17

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source=pdf_text observed=2026-08-07T22:41:43.868047Z digest=sha256:6b812f1c676d9dbf132b452c821ae7c70156c984399dc33a2e696fce9c33b35e

Observation 9d783d37-7ce5-4526-b69a-a5aa6501854e · outbound

This paper cites Theta dependence, sign problems and topological interference.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Theta dependence, sign problems and topological interference

Reference 18

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T22:41:43.872167Z digest=sha256:9223a3a022008773ed0cab383bd69b4487ba11114be68d139c17a95196d37127

Observation a0e3dc04-9f7d-4b01-b747-dd6736389cbd · outbound

This paper cites Universal mechanism of (semi-classical) deconfinement and theta-dependence for all simple groups.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Universal mechanism of (semi-classical) deconfinement and theta-dependence for all simple groups

Reference 19

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source=pdf_text observed=2026-08-07T22:41:43.876695Z digest=sha256:58014e61004c69fa759d6c2050d1f5718b472c0f4313324a39600c6812dfe3d9

Observation e622a6b1-bd0c-4e92-b64c-004918e02744 · outbound

This paper cites Theta dependence of the deconfining phase transition in pure SU(N_c) Yang-Mills theories.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Theta dependence of the deconfining phase transition in pure SU(N_c) Yang-Mills theories

Reference 20

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local_arxiv, observed 2026-08-07T22:41:44.058944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T22:41:43.881485Z digest=sha256:4701ea6b45a5548a6f94b97e7c95d9f8394f8ccf897c31cbaea3cfb37d0bb249

Observation 8d8d3d54-7d2a-431f-a2b0-ed4fc044a0b6 · outbound

This paper cites $\theta$ dependence of $T_c$ in 4d SU(3) Yang-Mills theory with histogram method and the Lee-Yang zeros in the large $N$ limit.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ $\theta$ dependence of $T_c$ in 4d SU(3) Yang-Mills theory with histogram method and the Lee-Yang zeros in the large $N$ limit

Reference 21

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verified exact
local_arxiv, observed 2026-08-07T22:41:44.038548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T22:41:43.885859Z digest=sha256:64fa1f5adcabad1ec517c1baf1f5dd6b4b9070e76648d17eeca47abc543f4cf7

Observation e0fca28c-0b8e-48fe-af0e-f246a531c3cf · outbound

This paper cites Topological features of the deconfinement transition.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Topological features of the deconfinement transition

Reference 22

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verified exact
local_arxiv, observed 2026-08-07T22:41:44.017103Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T22:41:43.890565Z digest=sha256:cedda98022d98235056110b095ed68a11bb9e32c57a8e7f5be94428afa99bca1

Observation 7da992f3-09f1-4f89-9d30-6341e4a322b3 · outbound

This paper cites Di Vecchia, K.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Di Vecchia, K

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T22:41:44.318713Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T22:41:43.895172Z digest=sha256:bc0341480518c8788973ea05861fc21062821000d3e0d77bc94fcc0fb45bc799

Observation 73f9d07c-2cf8-441c-ac7c-cc17e6081275 · outbound

This paper cites Theta dependence of SU(N) gauge theories.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Theta dependence of SU(N) gauge theories

Reference 24

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T22:41:43.899877Z digest=sha256:41a80367470f64e4d40f9f2929c9215f8bc9ac577cec5c81168693ddb33e7a4f

Observation e104e3e1-a5bd-4d3b-a83f-4376ed762f3e · outbound

This paper cites Evidence of a CP broken deconfined phase in 4D SU(2) Yang-Mills theory at $\theta =\pi$ from imaginary $\theta$ simulations.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Evidence of a CP broken deconfined phase in 4D SU(2) Yang-Mills theory at $\theta =\pi$ from imaginary $\theta$ simulations

Reference 25

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T22:41:43.904769Z digest=sha256:91abfb31d16e9628a91b0806a86c33ea78c2adf9f2e57d99df27ab7b3cf9722e

Observation 277a72d9-9447-490c-bcf1-e52ee04a58c9 · outbound

This paper cites Scaling Properties of the Energy Density in SU(2) Lattice Gauge Theory.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Scaling Properties of the Energy Density in SU(2) Lattice Gauge Theory

Reference 26

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unresolved
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T22:41:43.909427Z digest=sha256:3c26710b39b9f2763a6fb669a71a6a13c43b83b9b068c0276f67a6d82fd62cbd

Observation 27ade445-2184-447e-b2db-aa32a078f907 · outbound

This paper cites $\theta$ dependence of $T_c$ in SU(2) Yang-Mills theory.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ $\theta$ dependence of $T_c$ in SU(2) Yang-Mills theory

Reference 27

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Unavailable: canonical work link unavailable.

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