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In this paper we present a particle-number-conserving (PNC) functional formalism to describe the dynamics of a cold bosonic gas. Treating the total number of particles as a constraint, whereby the phase invariance of the theory becomes…

Other Condensed Matter · Physics 2007-05-23 Esteban Calzetta , Bei-Lok Hu

Subject of our investigations is QCD formulated in terms of physical degrees of freedom. Starting from the Faddeev-Popov procedure, the canonical formulation of QCD is derived for static gauges. Particular emphasis is put on obstructions…

High Energy Physics - Phenomenology · Physics 2016-11-23 Frieder Lenz , Stefan Woerlen

We consider four-dimensional non-Abelian gauge theory living on a complex projective space $\mathbb{CP}^2$ as a way of gaining insights into (3+1)-dimensional QCD. In particular, we use a complex parametrization of gauge fields on which…

High Energy Physics - Theory · Physics 2024-10-31 Antonina Maj

It is shown that it is possible to consistently and gauge invariantly formulate models where the coupling constant is a non trivial function of a scalar field . In the $U(1)$ case the coupling to the gauge field contains a term of the form…

High Energy Physics - Theory · Physics 2015-06-17 E. I. Guendelman , R. Steiner

Though not a part of mainstream physics, Salam's theory of strong gravity remains a viable effective model for the description of strong interactions in the gauge singlet sector of QCD, capable of producing particle confinement and…

High Energy Physics - Theory · Physics 2018-08-07 Piyabut Burikham , Tiberiu Harko , Matthew J. Lake

Using stochastic quantization method we derive gauge-invariant equations, connecting multilocal vacuum correlators of nonperturbative field configurations immersed into the quantum background. Three alternative methods of stochastic…

High Energy Physics - Theory · Physics 2007-05-23 D. V. Antonov

We investigate the effective potential of the $PT$ symmetric $(-g\phi^{4}) $ field theory, perturbatively as well as non-perturbatively. For the perturbative calculations, we first use normal ordering to obtain the first order effective…

High Energy Physics - Theory · Physics 2008-11-26 Abouzeid M. Shalaby

We consider a local, renormalizable, BRST-invariant action for QCD in Coulomb gauge that contains auxiliary bose and fermi ghost fields. It possess a non-perturbative vacuum that spontaneously breaks BRST-invariance. The vacuum condition…

High Energy Physics - Phenomenology · Physics 2008-11-26 Daniel Zwanziger

It is well known that the covariant coupling of fermionic matter to gravity induces a four-fermion interaction. The presence of this term in a homogenous and isotropic space-time results in a BCS-like Hamiltonian and the formation of a…

High Energy Physics - Theory · Physics 2007-05-23 Stephon H. S. Alexander , Deepak Vaid

The generation of gauge--dependent fermion vacuum condensates in Yang--Mills theory would dynamically break the gauge symmetry and thus provide an alternative to the Higgs mechanism in unified theories. We explore a simple example:…

High Energy Physics - Phenomenology · Physics 2010-12-16 Dmitri Diakonov , Hilmar Forkel , Matthias Lutz

The real-time dynamics of topological defects and turbulent configurations of gauge fields for electric and magnetic confinement are studied numerically within a 2+1D Abelian Higgs model. It is shown that confinement is appearing in such…

High Energy Physics - Phenomenology · Physics 2015-06-16 Thomas Gasenzer , Larry McLerran , Jan M. Pawlowski , Dénes Sexty

Renormalized fermion condensate in $SU(2)$ gauge theory has been calculated in the background of static, stable gauge field configuration using field strength formalism. It is observed that the condensate attains a negative, minimum value…

High Energy Physics - Phenomenology · Physics 2020-02-18 Rajdeep Basak , Krishnendu Mukherjee

The standard model of strong interactions invokes the quantum chromodynamics (QCD) of quarks and gluons interacting within a fluid. At sufficiently small length scales, the effective interactions between the color charged particles within…

High Energy Physics - Theory · Physics 2009-11-19 Y. N. Srivastava , O. Panella , A. Widom

We suggest that clusters or domains of topological charge and action density occur in the QCD vacuum as an effect of singularities in gauge fields and can simultaneously lead to confinement and chiral symmetry breaking. The string constant,…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. C. Kalloniatis , S. N. Nedelko

We build quantum field theory on the thermodynamic master equation for dissipative quantum systems. The vacuum is represented by a thermodynamic equilibrium state in the low-temperature limit. All regularization is consistently provided by…

Mathematical Physics · Physics 2018-03-09 Hans Christian Öttinger

I start with an elementary observation about the pressure in the deconfined phase of a SU(3) gauge theory without quarks. This suggests a ``fuzzy'' bag model for the analogous pressure in QCD, with dynamical quarks. I then sketch how the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Robert D. Pisarski

We consider an SU(2) gauge theory in six-dimensions. We show that there exists non-trivial structure of gauge vacua in compactified background M4xS2. In this circumstances, there can exist a cosmic string, whose solution is recently…

High Energy Physics - Theory · Physics 2017-12-27 Atsushi Nakamula , Kiyoshi Shiraishi

In our previous works the effective potential approach for composite operators has been generalized to non-zero temperature in order to derive the analytical equation of state for pure SU(3) Yang-Mills fields without quark degrees of…

High Energy Physics - Phenomenology · Physics 2012-10-20 V. Gogokhia , M. Vasuth

We show that the requirement of gauge invariance is not enough to fix the form of interactions between unparticles and gauge fields, thus revealing a wide new class of gauged unparticle actions. Our approach also allows us to construct…

High Energy Physics - Theory · Physics 2009-02-26 Anton Ilderton

The gauge structure of the four dimensional effective theory originated in a pure five dimensional Yang-Mills theory compactified on the orbifold $S^1/Z_2$, is discussed on the basis of the BRST symmetry. If gauge parameters propagate in…

High Energy Physics - Phenomenology · Physics 2015-05-27 H. Novales-Sánchez , J. J. Toscano
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