62 research outputs found
Representation of a gauge field via intrinsic "BRST" operator
We show that there exists a representation of a matrix valued gauge field via
intrinsic "BRST" operator assigned to matrix valued generators of a gauge
algebra. In this way, we reproduce the standard formulation of the ordinary
Yang - Mills theory. In the case of a generating quasigroup/groupoid, we give a
natural counterpart to the Yang - Mills action. The latter counterpart does
also apply as to the most general case of an involution for matrix-valued gauge
generators.Comment: 15 pages, no figures, Section 6 extended with (6.14), (6.15); v3:
Section 7 added, minor corrections; v4: Section 4, minor corrections; v5:
formula (4.11) modifie
Finite anticanonical transformations in field-antifield formalism
We study the role of arbitrary (finite) anticanonical transformations in the
field-antifield formalism, and the gauge-fixing procedure based on the use of
these transformations. The properties of the generating functionals of the
Green functions subjected to finite anticanonical transformations are
considered.Comment: 31 pages, no figures, typos corrected, published versio
Closed description of arbitrariness in resolving quantum master equation
In the most general case of the Delta exact operator valued generators
constructed of an arbitrary Fermion operator, we present a closed solution for
the transformed master action in terms of the original master action in the
closed form of the corresponding path integral. We show in detail how that path
integral reduces to the known result in the case of being the Delta exact
generators constructed of an arbitrary Fermion function.Comment: 13 pages, v2: Section 2 extended, misprint corrected, references
added, formula on page 7 corrected, new formula (4.30) and a phrase on it
inserted, v3: misprints in formulas (2.12), (4.23), (4.36)-(4.39) corrected,
v4: formulae (A.8), (A.11), (A.12) added, v5:published versio
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