Derivative expansion for the one-loop effective actions with internal symmetry

Journal Article · Mon Sep 08 00:00:00 EDT 1986 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.57.1199· OSTI ID:5084126

Chan, L

A simple systematic method is presented for the evaluation of the derivative expansion of the functional determinant with covariant differential operators space-time--dependent background fields, and internal symmetry. The results are directly applicable to the one-loop perturbative effective-action expansion for bosons and fermions. Derivative expansions up to four-derivative terms for TrX(-Pi/sup 2/+U(X)) and the effective action of the SO(N) linear sigma model are calculated.

• Research Organization: Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803; Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
• OSTI ID: 5084126
• Journal Information: Phys. Rev. Lett.; (United States), Vol. 57:10
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LAGRANGIAN FIELD THEORY
COUPLING
BOSONS
FERMIONS
QUANTUM OPERATORS
SERIES EXPANSION
SIGMA MODEL
SO GROUPS
FIELD THEORIES
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE MODELS
QUANTUM FIELD THEORY
SYMMETRY GROUPS
645400* - High Energy Physics- Field Theory