TY - JOUR
T1 - Covariant quantization of gauge fields without Gribov ambiguity
AU - Zwanziger, Daniel
N1 - Funding Information:
1 Research supported in part by National Science Foundation grant no. PHY78-21503.
PY - 1981/11/23
Y1 - 1981/11/23
N2 - Recently Parisi and Wu proposed a method of quantizing gauge fields whereby euclidean expectation values are obtained by relaxation to equilibrium of a stochastic process depending on an artificial fifth time parameter. In the present work the equilibrium distribution is determined directly, without reference to the artificial time, by a stationary condition which is an eigenfunction equation in the euclidean Hilbert space. The solution has a perturbative expansion which appears renormalizable by naive power counting. Because of gauge freedom, a free dimensionless gauge parameter appears in the theory although no gauge condition such as ∂ · A = 0 is imposed.
AB - Recently Parisi and Wu proposed a method of quantizing gauge fields whereby euclidean expectation values are obtained by relaxation to equilibrium of a stochastic process depending on an artificial fifth time parameter. In the present work the equilibrium distribution is determined directly, without reference to the artificial time, by a stationary condition which is an eigenfunction equation in the euclidean Hilbert space. The solution has a perturbative expansion which appears renormalizable by naive power counting. Because of gauge freedom, a free dimensionless gauge parameter appears in the theory although no gauge condition such as ∂ · A = 0 is imposed.
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U2 - 10.1016/0550-3213(81)90202-9
DO - 10.1016/0550-3213(81)90202-9
M3 - Article
AN - SCOPUS:0001659053
SN - 0550-3213
VL - 192
SP - 259
EP - 269
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 1
ER -