Loop calculations in quantum mechanical nonlinear sigma models with fermions and applications to anomalies

DOI10.1016/0550-3213(95)00593-5zbMath1003.81558arXivhep-th/9509158OpenAlexW2056666535MaRDI QIDQ1904600

Bas Peeters, Jan de Boer, Peter van Nieuwenhuizen, Kostas Skenderis

Publication date: 2 January 1996

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9509158

zbMATH Keywords

perturbation theoryHilbert spaceHamiltonian operatorFeynman rulesfermion doublingMajorana fermionsdiscretized propagators

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Path integrals in quantum mechanics (81S40) Anomalies in quantum field theory (81T50)

Related Items

Path integral calculation of heat kernel traces with first order operator insertions, Worldline path integrals for fermions with general couplings, Trace and chiral anomalies in string and ordinary field theory from Feynman diagrams for nonlinear sigma models, Index theorems on torsional geometries, BRST treatment of zero modes for the worldline formalism in curved space, Worldline path-integral representations for standard model propagators and effective actions, Extended SUSY quantum mechanics: transition amplitudes and path integrals, U\((N|M)\) quantum mechanics on Kähler manifolds, Quantum theory of massless (\(p\), 0)-forms, Quantum mechanical path integrals in curved spaces and the type-A trace anomaly, Majorana representation for dissipative spin systems, Dimensional regularization of nonlinear sigma models on a finite time interval, Worldline formalism in a gravitational background, The \(d=6\) trace anomaly from quantum field theory four-loop graphs in one dimension, Perturbative quantum field theory in the string-inspired formalism, Quantum theories of \((p, q)\)-forms, Effective action for higher spin fields on (A)dS backgrounds, Weyl anomaly in higher dimensions and Feynman rules in coordinate space, On the quantum mechanics of M(atrix) theory, Quantum Hamilton-Jacobi Equation, Integrals over products of distributions and coordinate independence of zero-temperature path integrals, Non-perturbative results for the luminosity and area distances

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