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We apply the Local Composite Operator method to construct the three loop effective potential for the dimension two operator $\frac{1}{2} { A_\mu^a }^2$ in the Landau gauge in Quantum Chromodynamics. For $SU(3)$ we show that the three loop…

High Energy Physics - Theory · Physics 2022-09-21 J. A. Gracey

We propose a new method for an analytical, non-perturbative computation of effective quark interactions from QCD. It is based on an exact flow equation which describes the scale dependence of the effective average action for quarks in…

High Energy Physics - Theory · Physics 2008-02-03 C. Wetterich

We apply the resolvent technique to the computation of the QED effective action in time dependent electric field backgrounds. The effective action has both real and imaginary parts, and the imaginary part is related to the pair production…

High Energy Physics - Theory · Physics 2009-10-31 Gerald Dunne , Theodore Hall

We derive a (Wilsonian) effective field theory of QCD at finite density by integrating out the states in the Dirac sea when the chemical potential $\mu\gg\Lambda_{\rm QCD}$. The quark-gluon coupling is effectively (1+1)-dimensional and the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Deog Ki Hong

We solve renormalization group equation in QCD in the presence of SU(3) constant chromo-electric field E^a with arbitrary color index a=1,2,...8 and find that the QCD coupling constant \alpha_s depends on two independent casimir/gauge…

High Energy Physics - Phenomenology · Physics 2014-11-18 Gouranga C Nayak

The quantum mechanics of spatially constant SU(2) Yang-Mills- and Dirac-fields minimally coupled to each other is investigated as the strong coupling limit of 2-color-QCD. Using a canonical transformation of the quark and gluon fields,…

High Energy Physics - Theory · Physics 2011-06-13 H. -P. Pavel

Within the Euclidean effective action approach we propose criteria for the ground state of QCD. Despite a nonvanishing field strength the ground state should be invariant with respect to modified Poincar\'e transformations consisting of a…

High Energy Physics - Phenomenology · Physics 2011-07-19 M. Reuter , C. Wetterich

We derive an effective colour chiral action with a background gauge field. The action describes configurations of soliton-skyrmion type. Kinetic term constant $f_0^2$, analogue of $f_\pi ^2$, is a phenomenological dimensional parameter of…

High Energy Physics - Phenomenology · Physics 2009-11-07 Victor Novozhilov , Yuri Novozhilov

A new background field formulation of QCD is presented in which the background gluon field is not a classical field, but an operator made up of quantized quark fields. This background field allows colorless quark states to form exact…

High Energy Physics - Theory · Physics 2007-05-23 Dr. Scott Chapman

Effect of quantum chromodynamics (QCD) interaction in quark-gluon plasma on electrical conductivity is studied, where lattice quantum chromodynamics (LQCD) results are mapped through quark and gluon degeneracy.

High Energy Physics - Phenomenology · Physics 2020-01-27 Ankita Mishra , Souvik Paul , Jayanta Dey , Sarthak Satapathy , Sabyasachi Ghosh

In the virtual presence of a heavy quark t, the interactions of a CP-odd scalar boson A, with mass M_A << 2M_t, with gluons and light quarks can be described by an effective Lagrangian. We analytically derive the coefficient functions of…

High Energy Physics - Phenomenology · Physics 2011-01-13 K. G. Chetyrkin , B. A. Kniehl , M. Steinhauser , W. A. Bardeen

An approach to QCD vacuum as a medium describable in terms of statistical ensemble of almost everywhere homogeneous Abelian (anti-)self-dual gluon fields is briefly reviewed. These fields play the role of the confining medium for color…

High Energy Physics - Phenomenology · Physics 2016-05-18 Sergei N. Nedelko , Vladimir E. Voronin

In the context of scalar quantum field theory we introduce a class of generically nonlinear quantum-background splits for which the splitting Ward identity, encoding the single field dependence in the effective action, can be solved…

High Energy Physics - Theory · Physics 2017-10-11 Mahmoud Safari , Gian Paolo Vacca

In SU(3) lattice QCD, we improve a method to extract gauge fields from link variables analytically. With this method, we perform the first study on the effective mass generation of off-diagonal gluons and infrared Abelian dominance in the…

High Energy Physics - Lattice · Physics 2013-01-01 Shinya Gongyo , Hideo Suganuma , Takumi Iritani

An approach to QCD vacuum as a medium describable in terms of statistical ensemble of almost everywhere homogeneous Abelian (anti-)self-dual gluon fields is reviewed. These fields play the role of the confining medium for color charged…

High Energy Physics - Phenomenology · Physics 2017-04-05 Sergei N. Nedelko , Vladimir E. Voronin

Using a generalized polar decomposition of the gauge fields into gauge-rotation and gauge-invariant parts, which Abelianises the Non-Abelian Gauss-law constraints, an unconstrained Hamiltonian formulation of QCD can be achieved. The exact…

High Energy Physics - Theory · Physics 2014-05-09 Hans-Peter Pavel

The transverse distribution of gluon and quark-antiquark pairs produced from a strong constant chromo-electric field depends on two gauge invariant quantities, $C_1=E^aE^a$ and $C_2=[d_{abc}E^aE^bE^c]^2$, as shown earlier in [G.C. Nayak and…

High Energy Physics - Phenomenology · Physics 2010-05-27 Fred Cooper , John F. Dawson , Bogdan Mihaila

A new approach to the non-perturbative regime of QCD is proposed by introducing a (non-hermitian) field $B$ related to the usual gluon field $A$ by $B_\mu$ = $(1+ \sigma \partial_m) A_\mu$ where $m$ goes to zero after differentiation, and…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. N. Mitra

We obtain an exact result for the soft gluon production and its p_T distribution due to a gluon loop in a constant chromo-electric background field E^a with arbitrary color. Unlike Schwinger's result for e^+e^- pair production in QED which…

High Energy Physics - Phenomenology · Physics 2009-11-11 Gouranga C. Nayak , Peter van Nieuwenhuizen

We find the Bogoliubov coefficient from the tunneling boundary condition on a charged particle coupled to a static electric field $E_0 sech^2 (z/L)$ and, using the regularization scheme in Phys. Rev. D 78, 105013 (2008), obtain the exact…

High Energy Physics - Theory · Physics 2014-11-20 Sang Pyo Kim , Hyun Kyu Lee , Yongsung Yoon