Comment on the trace anomaly in stochastic quantization

Journal Article · Fri Mar 27 23:00:00 EST 1992 · Modern Physics Letters A; (Singapore)

DOI:https://doi.org/10.1142/S0217732392003475· OSTI ID:5139437

Nakazawa, N ^[1]

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1. Dept. of Physics, Faculty of Science, Simane Univ., Matsue 690 (JP)

In this paper, the authors investigate the origin of the trace (conformal) anomaly in the context of stochastic quantization. Based on the Langevin equation, we study the local Ward-Takahashi identities corresponding to the Weyl invariance and the general coordinate invariance. It is shown that the Ito's stochastic calculus essentially picks up the non-trivial Jacobian factor which appears in the path-integral measure. We also provide how to construct the Langevin equation which maintains the general coordinate invariance in consistent with the Ito's calculus.

• OSTI ID: 5139437
• Journal Information: Modern Physics Letters A; (Singapore), Journal Name: Modern Physics Letters A; (Singapore) Vol. 7:10; ISSN 0217-7323; ISSN MPLAE
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFORMAL INVARIANCE
COORDINATES
EQUATIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
LANGEVIN EQUATION
QUANTIZATION
STOCHASTIC PROCESSES
UNIFIED-FIELD THEORIES
WARD IDENTITY
WEYL UNIFIED THEORY