Continuum regularization of gauge theory with fermions

Technical Report · Sun Mar 01 00:00:00 EST 1987

DOI:https://doi.org/10.2172/6347357· OSTI ID:6347357

Chan, H S

The continuum regularization program is discussed in the case of d-dimensional gauge theory coupled to fermions in an arbitrary representation. Two physically equivalent formulations are given. First, a Grassmann formulation is presented, which is based on the two-noise Langevin equations of Sakita, Ishikawa and Alfaro and Gavela. Second, a non-Grassmann formulation is obtained by regularized integration of the matter fields within the regularized Grassmann system. Explicit perturbation expansions are studied in both formulations, and considerable simplification is found in the integrated non-Grassmann formalism.

• Research Organization: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 6347357
• Report Number(s): LBL-23148; ON: DE87010281
• Resource Relation: Other Information: Thesis. Portions of this document are illegible in microfiche products
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
RENORMALIZATION
UNIFIED GAUGE MODELS
DIAGRAMS
DYSON REPRESENTATION
FERMIONS
INTEGRALS
PERTURBATION THEORY
POLARIZATION
QUANTUM CHROMODYNAMICS
VACUUM STATES
BOSON EXPANSION
FIELD THEORIES
MATHEMATICAL MODELS
PARTICLE MODELS
QUANTUM FIELD THEORY
645400* - High Energy Physics- Field Theory