Spectral Geometry of Operator Polynomials and Applications to QFT

2003/11/10 by D. V. Fursaev, Dmitri V. Fursaev, Fursaev, Dmitri V.
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Numerical methods for differential equations #Quantum chaos and dynamical systems #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0311080

9 pages, contribution to the proceedings of the Workshop on Quantum Field Theory under Influence of External Conditions, Norman, Oklahoma, 2003

arxiv created 2003/11/10 · openalex publication_date 2003/11/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A class of non-linear eigenvalue problems defined in the form of operator polynomials is investigated. The problems are related to wave equations which appear in a relativistic quantum field theory. Spectral asymptotics for this class are found explicitly. The properties of operator polynomials are analyzed for scalar, spinor and gauge fields. It is also shown how to use these results in finite temperature theories.

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