A conformal gauge theory for vector-spinors is constructed that is Weyl invariant when massless, propagates a massive spin-3/2 mode together with a negative-norm spin-1/2 state of double the mass, and satisfies the Hofman-Maldacena bound on the anomaly coefficient.
Schwinger–DeWitt expansion for the heat kernel of nonminimal operators in causal theories
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The authors adapt heat kernel techniques to non-minimal operators and compute DeWitt coefficients a0, a1, a2 to leading order in weak background fields for general NLED, plus exact a0 for conformal theories, with causality comments for convergence.
Stueckelberg restoration converts deformed Abelian reducible gauge theories to invariant form, enabling ghost quantization and one-loop effective action computation for massive fermionic tensor fields in AdS as functional determinants of Dirac operators.
Series expansions are obtained for multiple Mellin-Barnes integrals representing basis kernels in the Schwinger-DeWitt asymptotic expansions of operator functions, with separate treatments for non-resonant and resonant cases and a suggested physical link to UV/IR properties.
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Conformal gauge theory of vector-spinors and spin-3/2 particles
A conformal gauge theory for vector-spinors is constructed that is Weyl invariant when massless, propagates a massive spin-3/2 mode together with a negative-norm spin-1/2 state of double the mass, and satisfies the Hofman-Maldacena bound on the anomaly coefficient.
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Heat kernel approach to the one-loop effective action for nonlinear electrodynamics
The authors adapt heat kernel techniques to non-minimal operators and compute DeWitt coefficients a0, a1, a2 to leading order in weak background fields for general NLED, plus exact a0 for conformal theories, with causality comments for convergence.
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On a quantization of deformed reducible gauge theories
Stueckelberg restoration converts deformed Abelian reducible gauge theories to invariant form, enabling ghost quantization and one-loop effective action computation for massive fermionic tensor fields in AdS as functional determinants of Dirac operators.
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Multiple Mellin-Barnes integrals in Schwinger-DeWitt technique
Series expansions are obtained for multiple Mellin-Barnes integrals representing basis kernels in the Schwinger-DeWitt asymptotic expansions of operator functions, with separate treatments for non-resonant and resonant cases and a suggested physical link to UV/IR properties.