Path integral quantization of topologically coupled massive p-form theories shows quantum duality breaking on non-trivial backgrounds, with the difference in required counterterms proportional to the Euler characteristic.
The secret long range force in quantum field theories with instantons
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Derives a generic chiral anomaly formula incorporating multiple Feynman diagrams, from which abelian, singlet, consistent, and covariant forms follow, with topological discussion and FeynCalc code.
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Quantum (non)equivalence of dual massive $p$-form gauge theories
Path integral quantization of topologically coupled massive p-form theories shows quantum duality breaking on non-trivial backgrounds, with the difference in required counterterms proportional to the Euler characteristic.
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The Polymorphic Chiral Anomaly
Derives a generic chiral anomaly formula incorporating multiple Feynman diagrams, from which abelian, singlet, consistent, and covariant forms follow, with topological discussion and FeynCalc code.