Determinants, Dirac operators, and one-loop physics

Journal Article · Sun Jan 01 00:00:00 EST 1989 · International Journal of Modern Physics B; (United States)

DOI:https://doi.org/10.1142/S0217751X89000625· OSTI ID:5369908

Blau, S K; Visser, M; Wipf, A ^[1]

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1. Theoretical Div., Los Alamos National Lab., Los Alamos, NM (US)

In this paper the authors consider the Dirac operator. Its determinant is examined and in two Euclidean dimensions is explicitly evaluated in terms of geometrical quantities. This leads us to consider a generalization of the Wess-Zumino action that is applicable to arbitrary genus. The authors' analysis is relevant to a number of interesting systems: Schwinger models on curved two-manifolds; string theories with world-sheet vectors; and as an exploration of possible directions in evaluating determinants in four dimensions.

• OSTI ID: 5369908
• Journal Information: International Journal of Modern Physics B; (United States), Vol. 4:6; ISSN 0217-9792
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIRAC OPERATORS
EUCLIDEAN SPACE
FOUR-DIMENSIONAL CALCULATIONS
GEOMETRY
INTERACTIONS
MATHEMATICAL MANIFOLDS
SCHWINGER SOURCE THEORY
STRING MODELS
VECTORS
WILSON LOOP
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATHEMATICS
PARTICLE MODELS
QUANTUM OPERATORS
QUARK MODEL
RIEMANN SPACE
SPACE
TENSORS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
661100 - Classical & Quantum Mechanics- (1992-)