1.

Gauge (in)dependence and background field formalism
/ Lavrov, Peter M.
It is shown that the gauge invariance and gauge dependence properties of effective action for YangMills theories should be considered as two independent issues in the background field formalism. [...]
Published in Physics letters B 791 (2019) 293298
10.1016/j.physletb.2019.03.009
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2.

General conversion method for constrained systems
/ Batalin, Igor A. ; Lavrov, Peter M.
We reformulate in a systematic way the conversional approach in its most general and compact form. [...]
Published in Physics letters B 787 (2018) 8993
10.1016/j.physletb.2018.10.046
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3.

Multiplicative renormalization of Yang–Mills theories in the backgroundfield formalism
/ Batalin, Igor A. ; Lavrov, Peter M. ; Tyutin, Igor V.
In the paper, within the background field method, the structure of renormalizations is studied as for Yang–Mills fields interacting with a multiplet of spinor fields. [...]
Published in EPJC 78 (2018) 570
10.1140/epjc/s1005201860316
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4.

Superfield generating equation of field–antifield formalism as a hypergauge theory
/ Batalin, Igor A. ; Lavrov, Peter M.
Within a superfield approach, we formulate a simple quantum generating equation of the field–antifield formalism. [...]
Published in EPJC 77 (2017) 121
10.1140/epjc/s100520174696x
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5.

Generalized sigma model with dynamical antisymplectic potential and nonAbelian de Rham's differential
/ Batalin, Igor A. ; Lavrov, Peter M.
For topological sigma models, we propose that their local Lagrangian density is allowed to depend nonlinearly on the de Rham's “velocities” DZA . [...]
Published in Physics letters B (2017)
10.1016/j.physletb.2017.01.065
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6.

Closed description of arbitrariness in resolving quantum master equation
/ Batalin, Igor A. ; Lavrov, Peter M.
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. [...]
Published in Physics letters B (2016)
10.1016/j.physletb.2016.04.047
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7.

Legendre transformations and Clairauttype equations
/ Lavrov, Peter M. ; Merzlikin, Boris S.
It is noted that the Legendre transformations in the standard formulation of quantum field theory have the form of functional Clairauttype equations. [...]
Published in Physics letters B (2016)
10.1016/j.physletb.2016.03.019
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8.

A systematic study of finite BRSTBV transformations within W – X formulation of the standard and the Sp (2)extended field–antifield formalism
/ Batalin, Igor A. ; Bering, Klaus ; Lavrov, Peter M.
Finite BRSTBV transformations are studied systematically within the W – X formulation of the standard and the Sp (2)extended field–antifield formalism. [...]
Published in EPJC 76 (2016) 101
10.1140/epjc/s100520163951x
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9.

Representation of a gauge field via intrinsic “BRST” operator
/ Batalin, Igor A. ; Lavrov, Peter M.
We show that there exists a representation of a matrixvalued gauge field via intrinsic “BRST” operator assigned to matrixvalued generators of a gauge algebra. [...]
Published in Physics letters B (2015)
10.1016/j.physletb.2015.09.033
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10.

Finite anticanonical transformations in field–antifield formalism
/ Batalin, Igor A. ; Lavrov, Peter M. ; Tyutin, Igor V.
We study the role of arbitrary (finite) anticanonical transformations in the field–antifield formalism and the gaugefixing procedure based on the use of these transformations. [...]
Published in EPJC 75 (2015) 270
10.1140/epjc/s1005201534857
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