Spectral representation in stochastic quantization

Journal Article · Wed Aug 15 04:00:00 EDT 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.42.1166· OSTI ID:6415209

Nakazato, H ^[1]

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1. Department of Physics, University of the Ryukyus, Okinawa 903-01 (Japan)

A spectral representation of stationary two-point functions is investigated on the basis of the operator formalism in stochastic quantization. Assuming the existence of asymptotic noninteracting fields, we can diagonalize the total Hamiltonian in terms of asymptotic fields and show that the correlation length along the fictitious time is proportional to the physical mass expected in the usual field theory. A relation between renormalization factors in the operator formalism is derived as a by-product and its validity is checked with the perturbative results calculated in this formalism.

• OSTI ID: 6415209
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 42:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
CORRELATION FUNCTIONS
FIELD THEORIES
FUNCTIONS
HAMILTONIANS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATRIX ELEMENTS
MINKOWSKI SPACE
PERTURBATION THEORY
QUANTIZATION
QUANTUM OPERATORS
RENORMALIZATION
SPACE
STOCHASTIC PROCESSES