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We study gauge-invariant approximations to the Yang-Mills vacuum wave functional in which asymptotic freedom and a detailed description of the infrared dynamics are encoded through squeezed core states. After variationally optimizing these…

High Energy Physics - Theory · Physics 2012-01-04 Hilmar Forkel

Generalizing the Yang-Mills gauge theory, we provide the BV quantization of a field model with a generic almost-regular quadratic Lagrangian by use of the fact that the configuration space of such a field model is split into the…

High Energy Physics - Theory · Physics 2007-05-23 D. Bashkirov

The generalized version of a lower dimensional model where vector and axial vector interaction get mixed up with different weight is considered. The bosonized version of which does not posses the local gauge symmetry. An attempt has been…

High Energy Physics - Theory · Physics 2016-11-22 Anisur Rahaman , Safia Yasmin

Divergent part of the one-loop effective action for the Yang-Mills theory in a special gauge containing forth degrees of ghost fields and allowing addition of BRST-invariant mass term is calculated by the generalized t'Hooft-Veltman…

High Energy Physics - Theory · Physics 2007-05-23 E. Andriyash , K. Stepanyantz

The perturbation theory over inverse interaction constant $1/g$ is constructed for Yang-Mills theory. It is shown that the new perturbation theory is free from the gauge ghosts and Gribov's ambiguities, each order over $1/g$ presents the…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Manjavidze , A. Sissakian

The spectral properties of a set of local gauge (BRST) invariant composite operators are investigated in the $SU(2)$ Yang--Mills--Higgs model with a single Higgs field in the fundamental representation, quantized in the 't Hooft…

High Energy Physics - Theory · Physics 2020-12-10 D. Dudal , D. M. van Egmond , M. S. Guimaraes , L. F. Palhares , G. Peruzzo , S. P. Sorella

We discuss the relation between spacetime diffeomorphisms and gauge transformations in theories of the Yang-Mills type coupled with Einstein's General Relativity. We show that local symmetries of the Hamiltonian and Lagrangian formalisms of…

General Relativity and Quantum Cosmology · Physics 2015-06-25 J. M. Pons , D. C. Salisbury , L. C. Shepley

It is argued that within the continuum functional formalism, there is no need to supply a further (spatially independent) gauge constraint to complete the Coulomb gauge of Yang-Mills theory. It is shown explicitly that a natural completion…

High Energy Physics - Theory · Physics 2007-11-20 P. Watson , H. Reinhardt

Using renormalization group methods we calculate the derivative expansion of the effective Lagrangian for a covariantly constant gauge field in curved spacetime. Curvature affects the vacuum, in particular it could induce phase transitions…

High Energy Physics - Theory · Physics 2009-09-17 S. Odintsov , R. Percacci

Extended BRST invariance (BRST plus anti-BRST invariances) provides in principle a natural way of introducing the complete gauge fixing structure associated to a gauge field theory in the minimum representation of the algebra. However, as…

High Energy Physics - Theory · Physics 2008-11-26 Nelson R. F. Braga , Cresus F. L. Godinho

The powerful quantization formalism of Batalin and Vilkovisky streamlines the derivation of the complete set of (non-linear) identities arising from the local BRST symmetry of Yang-Mills theories. When applied in the Background Field Method…

High Energy Physics - Phenomenology · Physics 2011-07-20 Daniele Binosi

In this letter we argue that instanton-dominated Green's functions in N=2 Super Yang-Mills theories can be equivalently computed either using the so-called constrained instanton method or making reference to the topological twisted version…

High Energy Physics - Theory · Physics 2009-10-31 D. Bellisai , F. Fucito , A. Tanzini , G. Travaglini

A U(1) BF-Yang-Mills theory on noncommutative ${\mathbb{R}}^4$ is presented and in this formulation the U(1) Yang-Mills theory on noncommutative ${\mathbb{R}}^4$ is seen as a deformation of the pure BF theory. Quantization using BRST…

High Energy Physics - Theory · Physics 2009-10-31 H. B. Benaoum

Renormalization group transformations for Schr\"odinger equation are performed in $\phi^4$ and in Yang-Mills theories. The dependence of the ground state wave functional on rapidly oscillating fields is found. For Yang-Mills theory, this…

High Energy Physics - Theory · Physics 2009-10-31 K. Zarembo

Using the BRST--BV approach, we consider totally symmetric arbitrary integer spin conformal fields propagating in flat space. For such fields, we obtain the ordinary-derivative BRST--BV Lagrangian that is invariant under gauge…

High Energy Physics - Theory · Physics 2016-03-31 R. R. Metsaev

The Einstein-Hilbert action in the context of Higher derivative theories is considered for finding out their BRST symmetries. Being a constraint system, the model is transformed in the minisuperspace language with the FRLW background and…

High Energy Physics - Theory · Physics 2016-07-19 Sudhaker Upadhyay , Biswajit Paul

We derive a generalized Nielsen identity for the case of Yang-Mills theories that include some classical fields. We discuss under which circumstances the effective action of the classical fields (i.e., after integration of quantum fields)…

High Energy Physics - Theory · Physics 2007-05-23 Sergio M. Iguri , Francisco D. Mazzitelli

By using the path integral method , we calculate the Green functions of field strength of Yang-Mills theories on arbitrary nonorientable surfaces in Schwinger-Fock gauge. We show that the non-gauge invariant correlators consist of a free…

High Energy Physics - Theory · Physics 2007-05-23 M. Alimohammadi , M. Khorrami

A strong coupling expansion around the non-trivial extremum of the Yang-Mills action will be described. It is shown that the developed formalism is the Gribov ambiguity free and each order of the developed perturbation theory is…

High Energy Physics - Theory · Physics 2012-07-24 J. Manjavidze

We give a new description of classical Yang-Mills theory by coupling a two-dimensional chiral CFT (which gives the tree-level S-matrix of Yang-Mills theory at genus zero) to a background non-abelian gauge field. The resulting model is…

High Energy Physics - Theory · Physics 2018-10-31 Tim Adamo , Eduardo Casali , Stefan Nekovar