Path integral quantization corresponding to Faddeev-Jackiw canonical quantization

Journal Article · Mon Jan 15 04:00:00 EST 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.75.025025· OSTI ID:21010938

Leng, Liao ^[1]; Yongchang, Huang ^[1]; CCAST, Beijing 100080 ^[2]

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1. Institute of Theoretical Physics, Beijing University of Technology, Beijing 100022 (China)
2. World Lab; China

We analyze the structure of the Faddeev-Jackiw method and show that the canonical 2-form of the Lagrangian constructed in the last step of the Faddeev-Jackiw method is always nondegenerate. So according to the Darboux theorem, there must exist a coordinate transformation that can transform the Lagrangian into a standard form. We take the coordinates after the transformation as these in a phase space, and use this standard form of the Lagrangian, we achieve its path integral expression over the symplectic space, give the Faddeev-Jackiw canonical quantization of the path integral, and then we further show up the concrete application of the Faddeev-Jackiw canonical quantization of the path integral.

• OSTI ID: 21010938
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 75; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LAGRANGIAN FUNCTION
PATH INTEGRALS
PHASE SPACE
QUANTIZATION
QUANTUM FIELD THEORY
TRANSFORMATIONS