Reduction for one-loop tensor Feynman integrals in the relativistic quantum field theories at finite temperature and/or finite density

Abstract

The \emph{conventional} Passarino-Veltman reduction is a systematic procedure based on the Lorentz covariance, which can efficiently reduce the one-loop tensor Feynman integrals in the relativistic quantum field theories (QFTs) at zero temperature and zero density. However, the Lorentz covariance is explicitly broken when either of the temperature and density is finite, due to a rest reference frame of the many-body system in which the temperature and density are measured, rendering the \emph{conventional} Passarino-Veltman reduction not applicable anymore to reduce the one-loop tensor Feynman integrals therein. In this paper, we report a \emph{generalized} Passarino-Veltman reduction which can efficiently simplify the one-loop tensor Feynman integrals in the relativistic QFTs at finite temperature and/or finite density. The \emph{generalized} Passarino-Veltman reduction can analyze the one-loop tensor Feynman integrals in a wide range of physical systems described by the relativistic QFTs at finite temperature and/or finite density, such as quark-gluon plasma in nuclear physics.

arXiv comment28 pages, 3 figures

References in corpus (25)

• The electronic properties of graphene
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Quantum Spin Hall Effect in Silicene
• Automatized One-Loop Calculations in 4 and D dimensions
• QCD Phenomenology based on a Chiral Effective Lagrangian
• Package-X: A Mathematica package for the analytic calculation of one-loop integrals
• Reduction schemes for one-loop tensor integrals
• Connection between Feynman integrals having different values of the space-time dimension
• Scalar one-loop integrals for QCD
• Hadronization in the SU(3) Nambu-Jona-Lasinio Model
• Chiral Magnetic conductivity
• Reduction of one-loop tensor 5-point integrals
• Kinetic theory with Berry curvature from quantum field theories
• One-loop calculations in quantum field theory: from Feynman diagrams to unitarity cuts
• Plasmon mode as a detection of the chiral anomaly in Weyl semimetals
• GRACE at ONE-LOOP: Automatic calculation of 1-loop diagrams in the electroweak theory with gauge parameter independence checks
• Recursive numerical calculus of one-loop tensor integrals
• Semi-Numerical Evaluation of One-Loop Corrections
• Automated computation of one-loop integrals in massless theories
• Dynamic current-current susceptibility in 3D Dirac and Weyl semimetals
• One Loop Integrals at Finite Temperature and Density
• Dynamical correlation functions and the related physical effects in three-dimensional Weyl/Dirac semimetals
• Charge-spin response and collective excitations in Weyl semimetals
• FeynOnium: Using FeynCalc for automatic calculations in Nonrelativistic Effective Field Theories
• One loop integrals reduction