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The renormalization-group properties of transverse-momentum dependent parton distribution functions in the light-cone gauge with the Mandelstam-Leibbrandt prescription for the gluon propagator are addressed. An expression for the transverse…

High Energy Physics - Phenomenology · Physics 2010-04-15 I. O. Cherednikov , N. G. Stefanis

*REVISED VERSION* Two quark propagators with different analytic structure are employed in on and off mass-shell Bethe-Salpeter type equations for the pion and scalar diquark form-factors. One of the quark propagators has been calculated…

High Energy Physics - Phenomenology · Physics 2009-10-22 Samuel J. Stainsby , Reginald T. Cahill

In this article we investigate an interpolating gauge fixing procedure in $(4l+3)$-dimensional abelian Chern-Simons theory. We show that this interpolating gauge is related to the covariant gauge in a constant anisotropic metric. We compute…

High Energy Physics - Theory · Physics 2018-01-16 Laurent Gallot , Philippe Mathieu , Éric Pilon , Frank Thuillier

A novel general expression is obtained for the graviton propagator from Lagrangian field theory by taking into account the necessary fact that in the functional differential approach of quantum field theory, in order to generate…

High Energy Physics - Theory · Physics 2013-11-12 E. B. Manoukian , S. Sukkhasena

We will derive a rigorous real time propagator for the Non-relativistic Quantum Mechanic $L^2$ transition probability amplitude and for the Non-relativistic wave function. The propagator will be explicitly given in terms of the time…

Mathematical Physics · Physics 2009-10-31 Ken Loo

For gauge field propagators, the asymptotic behavior is obtained in all directions of the complex $k^2$-plane, and for general, linear, covariant gauges. Asymptotically free theories are considered. Except for coefficients, the functional…

High Energy Physics - Theory · Physics 2009-10-28 Reinhard Oehme , Wentao Xu

We calculate the transverse and the time-time components of the Coulomb-gauge gluon propagator in SU(3) lattice Yang-Mills theory both on isotropic and anisotropic lattices. The problem of scaling violation observed on the isotropic lattice…

High Energy Physics - Lattice · Physics 2010-11-05 Yoshiyuki Nakagawa , Atsushi Nakamura , Takuya Saito , Hiroshi Toki

We comment on the recent attempt by M. Franz et al [1] to further justify their earlier calculation of the gauge-invariant electron propagator in the context of the QED_3 theory of the pseudogap phase in cuprates [2]. First, we use the…

Strongly Correlated Electrons · Physics 2007-05-23 D. V. Khveshchenko

We study the polarization and dispersion properties of gluons moving within a weakly magnetized background at one-loop order. To this end, we show two alternative derivations of the charged fermion propagator in the weak field expansion and…

High Energy Physics - Phenomenology · Physics 2021-05-05 Alejandro Ayala , Jorge David Castaño-Yepes , L. A. Hernández , Jordi Salinas , R. Zamora

A composite non-abelian model $SU(N) \times SU(N)$ is proposed as possible extension of the Yang-Mills symmetry. We obtain the corresponding gauge symmetry of the model and the most general lagrangian invariant by $SU(N) \times SU(N)$. The…

High Energy Physics - Theory · Physics 2016-12-23 M. J. Neves , R. Doria

We use a light-cone approach to solve the Schwinger-Dyson equation for the quark propagator. We show how this method can be used to solve the equation beyond the space-like region, to which one is usually restricted with the usual…

High Energy Physics - Phenomenology · Physics 2009-11-07 L. S. Kisslinger , O. Linsuain

In SU(3) lattice QCD, we study diagonal and off-diagonal gluon propagators in the maximally Abelian (MA) gauge with U(1)$_3 \timesU(1)_8$ Landau gauge fixing. These propagators are studied both in the coordinate space and in the momentum…

High Energy Physics - Lattice · Physics 2013-05-01 Shinya Gongyo , Hideo Suganuma

We have explicitly shown that QCD is the color gauge invariant theory at non-zero mass gap as well. It has been defined as the value of the regularized full gluon self-energy at some finite point. The mass gap is mainly generated by the…

High Energy Physics - Phenomenology · Physics 2009-12-07 V. Gogokhia

The static longitudinal and transverse gluon propagators in the Landau gauge are studied in $2+1$ lattice QCD with nonzero isospin chemical potential $\mu_I$. Parameterization of the momentum dependence of the propagators is provided for…

High Energy Physics - Lattice · Physics 2021-09-21 V. G. Bornyakov , A. A. Nikolaev , R. N. Rogalyov , A. S. Terentev

A tensor representation of the gluon propagator is found within covariant gauges for a non-Abelian theory after symmetry breaking due to $<A_0>\ne 0$ and the exact equations which determine the dispersion laws of plasma excitations are…

High Energy Physics - Phenomenology · Physics 2015-06-25 O. K. Kalashnikov

We present an exploratory study of a one-parameter family of covariant, non-perturbative lattice gauge-fixing conditions, that can be implemented through a simple Monte Carlo algorithm. We demonstrate that at the numerical level the…

High Energy Physics - Lattice · Physics 2009-10-28 D. S. Henty , O. Oliveira , C. Parrinello , S. Ryan

We formulate the graviton propagator on de Sitter background in a 2-parameter family of simple gauges which break de Sitter invariance. Explicit results are derived for the first order perturbations in each parameter. These results should…

General Relativity and Quantum Cosmology · Physics 2019-10-15 D. Glavan , S. P. Miao , T. Prokopec , R. P. Woodard

We construct the gauge field and graviton propagators in Euclidean AdS(d+1) space-time by two different methods. In the first method the gauge invariant Maxwell or linearized Ricci operator is applied directly to bitensor ansatze for the…

High Energy Physics - Theory · Physics 2009-10-08 Eric D'Hoker , Daniel Z. Freedman , Samir D. Mathur , Alec Matusis , Leonardo Rastelli

The Feynman propagator used in the conventional in-out formalism in quantum field theory is not a causal propagator as wave packets are propagated virtually instantaneously outside the causal region of the initial state. We formulate a…

High Energy Physics - Theory · Physics 2010-12-17 Jurjen F. Koksma , W. Westra

The effective action for reggeized gluons is based on the gluodynamic Yang-Mills Lagrangian with external current for longitudinal gluons added, see [1]. On the base of classical solutions, obtained in [2], the one-loop corrections to this…

High Energy Physics - Theory · Physics 2017-10-25 S. Bondarenko , L. Lipatov , S. Pozdnyakov , A. Prygarin