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Related papers: QCD in the Color-Flow Representation

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Much about the confinement and dynamical symmetry breaking in QCD might be learned from models with supersymmetry. In particular, models based on N=2 supersymmetric theories with gauge groups SU(N), SO(N) and $USp(2 N)$ and with various…

High Energy Physics - Theory · Physics 2007-05-23 Kenichi Konishi

In the paper we begin a description of functional methods of quantum field theory for systems of interacting q-particles. These particles obey exotic statistics and are the q-generalization of the colored particles which appear in many…

High Energy Physics - Theory · Physics 2016-09-06 K. N. Ilinski , G. V. Kalinin , A. S. Stepanenko

We develop fully noncommutative Feynman-Kac formulae by employing quantum stochastic processes. To this end we establish some theory for perturbing quantum stochastic flows on von Neumann algebras by multiplier cocycles. Multiplier cocycles…

Functional Analysis · Mathematics 2018-01-18 Alexander C. R. Belton , J. Martin Lindsay , Adam G. Skalski

This talk reports on work aimed at improving our understanding of charged states in gauge theories.Emphasis is placed on different ways of implementingthe gauge invariance of physical states. QED perturbative calculations are used to stress…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Bagan , M. Lavelle , D. McMullan , B. Fiol , N. Roy

Perturbative QCD has made significant progress over the last few decades. In the first part, we present an introductory overview of perturbative QCD as seen from a modern viewpoint. We explain the relation between purely perturbative…

High Energy Physics - Phenomenology · Physics 2014-07-22 Y. Sumino

SU(2) gauge theory coupled to massless fermions in the adjoint representation is quantized in light-cone gauge by imposing the equal-time canonical algebra. The theory is defined on a space-time cylinder with "twisted" boundary conditions,…

High Energy Physics - Theory · Physics 2009-11-10 E. Vianello , G. McCartor

The interactions between gluons are important in theories such as quantum chromodynamics. Therefore, to rediscover new features of well known methods in order to investigate the SU(3) gauge group can be a new way to deal with Yang-Mills…

High Energy Physics - Theory · Physics 2015-06-15 Everton M. C. Abreu , Albert C. R. Mendes , Clifford Neves , Wilson Oliveira , Rodrigo C. N. Silva

The possibility of generating a color superconducting state in 2+1 dimensional QCD is analyzed. The gap equation in the leading, hard-dense loop improved, one-gluon exchange approximation is derived and solved. The magnitude of the order…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. A. Miransky , G. W. Semenoff , I. A. Shovkovy , L. C. R. Wijewardhana

Color confinement is the most puzzling phenomenon in the theory of strong interaction based on a quantum SU(3) Yang-Mills theory. The origin of color confinement supposed to be intimately related to non-perturbative features of the…

High Energy Physics - Theory · Physics 2020-12-29 D. G. Pak , Takuya Tsukioka

We show how to calculate the effective potential of SU(3) QCD which tells that the true minimum is given by the monopole condensation. To do this we make the gauge independent Weyl symmetric Abelian decomposition of the SU(3) QCD which…

High Energy Physics - Theory · Physics 2019-07-24 Y. M. Cho , Franklin H. Cho

The standard Feynman rules used for perturbative calculations in quantum chromodynamics (QCD) are derived from a Lagrangian that is first-order in derivatives. It includes a three-point quark-gluon vertex which obscures the precise…

High Energy Physics - Phenomenology · Physics 2025-03-04 Victor Miguel Banda Guzmán , Adnan Bashir

A computer program for evaluating colour factors of QCD Feynman diagrams is presented, and illustrative examples on how to use the program to calculate non trivial colour factors are given. The program and the discussion in this paper is…

High Energy Physics - Phenomenology · Physics 2009-10-28 Jari Hakkinen , Hamid Kharraziha

We review the theoretical developments and conceptual advances that stemmed from the generalization of QCD to the limit of a large number of color charges, originally proposed by 't Hooft. Then, after introducing the gauge-invariant…

High Energy Physics - Theory · Physics 2013-04-29 Biagio Lucini , Marco Panero

Constant temporal backgrounds have become a convenient tool for the discussion of continuum non-abelian gauge theories at finite temperature, as they provide a grasp on the confinement/deconfinement transition. It has been pointed that such…

High Energy Physics - Theory · Physics 2021-04-27 Duifje Maria van Egmond , Urko Reinosa

We study quasipolynomials enumerating proper colorings, nowhere-zero tensions, and nowhere-zero flows in an arbitrary CW-complex $X$, generalizing the chromatic, tension and flow polynomials of a graph. Our colorings, tensions and flows may…

Combinatorics · Mathematics 2016-06-07 Matthias Beck , Felix Breuer , Logan Godkin , Jeremy L. Martin

Quantum link models provide an alternative non-perturbative formulation of Abelian and non-Abelian lattice gauge theories. They are ideally suited for quantum simulation, for example, using ultracold atoms in an optical lattice. This holds…

High Energy Physics - Theory · Physics 2015-06-23 Uwe-Jens Wiese

Classical transport theory for colored particles is investigated and employed to derive the hard thermal loops of QCD. A formal construction of phase-space for color degrees of freedom is presented. The gauge invariance of the non-Abelian…

High Energy Physics - Phenomenology · Physics 2011-07-19 P. F. Kelly , Q. Liu , C. Lucchesi , C. Manuel

It is shown that quantum nucleardynamics (QND) as an SU(2)_N \times U(1)_Z gauge theory, which is generated from quantum chromodynamics (QCD) as an SU(3)_C gauge theory through dynamical spontaneous symmetry breaking, successfully describes…

High Energy Physics - Phenomenology · Physics 2007-05-23 Heui-Seol Roh

The quantum chromodynamics (QCD) phase diagram, which reveals the state of strongly interacting matter at different temperatures and densities, is key to answering open questions in physics, ranging from the behavior of particles in neutron…

We discuss a general model for effective quantum field theories (QFTs), which for example comprises quantum chromodynamics and quantum electrodynamics. We assume in the model a perturbative expansion of the Lagrangian with respect to a…

Mathematical Physics · Physics 2013-02-19 Andreas Raab