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Quenched lattice QCD at finite isospin density and related theories

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arxiv hep-lat/0201017 v2 pith:RSWNUM7I submitted 2002-01-20 hep-lat

classification hep-lat
keywords theorieschemicalpotentialquenchedcriticalfinitescalingcase
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study quenched QCD at finite chemical potential, $\mu_I$, for the third component of isospin and quenched two-colour QCD at finite chemical potential, $\mu$, for quark number. In contrast to the quenched approximation to QCD at finite quark-number chemical potential, the quenched approximations to these theories behave similarly to the full theories. The reason is that these theories have real positive fermion determinants. In both of these theories there is some critical chemical potential above which the charge coupled to the chemical potential is spontaneously broken. In each case, the transition appears to be second order. We study the scaling properties near the critical point using scaling functions suggested by effective (chiral) Lagrangians and find evidence for scaling with mean-field critical exponents in each case. The subtleties associated with observing the critical scaling of these theories are discussed.

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Cited by 5 Pith papers

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  1. Quantum phases at high chemical potential in 2-flavor matrix-QC$_2$D

    hep-th 2026-07 conditional novelty 6.0 of 10

    In a matrix model of two-flavor two-color QCD, large baryon/isospin/chiral chemical potentials produce a web of quantum phases, including spin-1 LOFF-like states whose quark spin fraction can approach one.

  2. Renormalization group invariant mean-field model for QCD at finite isospin density

    hep-ph 2025-02 conditional novelty 6.0 of 10

    A renormalization-group invariant mean-field quark-meson model with one fitted scale reproduces lattice QCD thermodynamics at finite isospin density and predicts a multicritical chiral/pion-condensation point in the c...

  3. Pion condensation at non-zero isospin chemical potential with Wilson fermions

    hep-lat 2025-02 conditional novelty 5.0 of 10

    Using Wilson fermions on the lattice, the onset of pion condensation is observed at an isospin chemical potential slightly below m_pi/2, consistent with earlier staggered-fermion results.

  4. Minimal superfluid vortices in chiral perturbation theory

    hep-ph 2026-06 unverdicted novelty 4.0 of 10

    Leading order chiral perturbation theory yields the minimal energy condition for vortex nucleation in the pion condensed phase, with vortices carrying quantized angular momentum and self-confining pions.

  5. Studying the QCD Matter produced in Heavy-Ion Collisions using the MUSES Calculation Engine

    nucl-th 2026-06 unverdicted novelty 3.0 of 10

    The MUSES Calliope engine computes multi-dimensional QCD equations of state, merges them consistently, and feeds them into viscous hydrodynamic simulations of heavy-ion collisions with movable critical points and crit...

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