Quantum geometry of dirac fermions

Journal Article · Mon Jan 20 00:00:00 EST 1992 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X9200020X· OSTI ID:5298133

Korchemsky, G P ^[1]

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1. Lab. of Theoretical Physics, JINR, Dubna, P.O. Box 79, 101000 Moscow (SU)

This paper reports on a bosonic path integral formalism which is developed for Dirac fermions interacting with a non-Abelian gauge field in D-dimensional Euclidean space-time. The representation for the effective action and correlation functions of interacting fermions as sums over all bosonic paths on the complex projective space CP{sup 2d{minus}1} (2d = 2{sup 1D/21}) is derived where the whole of the spinor structure is absorbed by the one-dimensional Wess-Zumino term. It is the Wess-Zumino term that ensures all necessary properties of Dirac fermions under quantization, i.e. quantized values of the spin, Dirac equation, and Fermi statistics.

• OSTI ID: 5298133
• Journal Information: International Journal of Modern Physics A; (United States), Vol. 7:2; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FERMIONS
FIELD THEORIES
INTERACTIONS
BOSONS
CORRELATION FUNCTIONS
DIRAC EQUATION
EUCLIDEAN SPACE
FEYNMAN PATH INTEGRAL
GAUGE INVARIANCE
ONE-DIMENSIONAL CALCULATIONS
QUANTIZATION
SPACE-TIME
SPINORS
STATISTICS
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
INTEGRALS
INVARIANCE PRINCIPLES
MATHEMATICAL SPACE
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
RIEMANN SPACE
SPACE
WAVE EQUATIONS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)