Supersymmetry in Stochastic Quantization Method and Field-Dependent Kernel
Author(s) -
Kenji Ikegami
Publication year - 1994
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp/92.1.205
Subject(s) - stochastic quantization , supersymmetry , physics , discretization , langevin equation , kernel (algebra) , quantization (signal processing) , quantum stochastic calculus , mathematical physics , field (mathematics) , quantum field theory , mathematics , statistical physics , path integral formulation , quantum mechanics , mathematical analysis , pure mathematics , quantum , algorithm , quantum process , quantum dynamics
We define a discretized Langevin equation in Stratonovich-{\it type}calculus. We show that a generating functional with a field-dependent kernelcan be written in mid-point prescription only when we calculate in thecalculus. Moreover we investigate whether supersymmetry of the stochasticaction with field-dependent kernel exists or not.Comment: 11 pages, CHIBA-EP-70, plain Te
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