FINITE BRST-ANTIBRST TRANSFORMATIONS FOR THE THEORIES WITH GAUGE GROUP

Moshin P. Ju., Reshetnyak A. A.

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Following our recent results [P. Yu. Moshin, A. A. Reshetnyak, Nucl. Phys. B 888 (2014) 92], we discuss the notion of finite BRST-antiBRST transformations, with a doublet λa, a = 1, 2, of anticommuting (both global and field-dependent) Grassmann parameters. We find an explicit Jacobian corresponding to this change of variables in the theories with gauge group. Special field-dependent BRST-antiBRST transformations for the Yang-Mills path integral with sa-potential (functionally-dependent) parameters λa = saΛ generated by a finite even-valued functional Λ and the anticommuting generators sa of BRST-antiBRST transformations, amount to a precise change of the gauge-fixing functional. This proves the independence of the vacuum functional under such BRST-antiBRST transformations and leads to presence of modified Ward identities. The form of transformation parameters that induces a change of the gauge in the path integral is found and is exactly evaluated for connecting two arbitrary Rξ-like gauges. The finite field-dependent BRST-antiBRST transformations are used to generalize the Gribov horizon functional h0, in the Landau gauge in BRST-antiBRST setting, in the Gribov– Zwanziger model and to find hξ corresponding to general Rξ-like gauges in the form compatible with gauge-independent S-matrix.

Keywords: gauge theories, BRST-antiBRST Lagrangian quantization, Yang-Mills theory, Gribov–Zwanziger model, field-dependent BRST-antiBRST transformations

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Issue: 12, 2014

Series of issue: Issue 12

Pages: 192 — 197

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