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We discuss the phase structure of QCD for $N_f=2$ and $N_f=2+1$ dynamical quark flavours at finite temperature and baryon chemical potential. It emerges dynamically from the underlying fundamental interactions between quarks and gluons in…

High Energy Physics - Phenomenology · Physics 2020-04-01 Wei-jie Fu , Jan M. Pawlowski , Fabian Rennecke

We non-perturbatively calculate the renormalization factor of the static axial vector current in O(a) improved quenched lattice QCD. Its scale dependence is mapped out in the Schroedinger functional scheme by means of a recursive…

High Energy Physics - Lattice · Physics 2009-11-07 Jochen Heitger , Martin Kurth , Rainer Sommer

We study perturbative renormalization of the composite operators in the $T\bar T$-deformed two-dimensional free field theories. The pattern of renormalization for the stress-energy tensor is different in the massive and massless cases.…

High Energy Physics - Theory · Physics 2021-06-07 Anshuman Dey , Mikhail Goykhman , Michael Smolkin

Using the domain-wall formulation of lattice fermions, we have computed the one-loop renormalization factors of one-link operators which measure the first nontrivial moment of the unpolarized, polarized and transversity structure functions,…

High Energy Physics - Lattice · Physics 2009-11-11 Stefano Capitani

This paper investigates the impact of strangeness chemical potential and finite volume on QCD critical end point by employing a (2+1) flavored Polyakov quark meson model. Within the mean-field approximation, the model has been extended to…

Nuclear Theory · Physics 2023-10-09 Nisha Chahal , Suneel Dutt , Arvind Kumar

Nonperturbative flow equations within an effective linear sigma model coupled to constituent quarks for two quark flavors are derived and solved. A heat kernel regularization is employed for a renormalization group improved effective…

Nuclear Theory · Physics 2009-10-31 B. -J. Schaefer , H. -J. Pirner

We study the effective parameters of QED near decoupling temperatures and show that the QED perturbative series is convergent, at temperatures below the decoupling temperature. The renormalization constant of QED acquires different values…

High Energy Physics - Theory · Physics 2017-04-26 Samina S. Masood

The chirally rotated Schr\"odinger functional for Wilson-fermions allows for finite-volume, mass-independent renormalization schemes compatible with automatic O($a$) improvement. So far, in QCD, the set-up has only been studied in the…

High Energy Physics - Lattice · Physics 2014-12-30 Mattia Dalla Brida , Stefan Sint

These lecture notes illustrate the application of Dyson-Schwinger equations in QCD. The extensive body of work at zero temperature and chemical potential is represented by a selection of contemporary studies that focus on solving the…

Nuclear Theory · Physics 2010-03-04 Craig D. Roberts

The evolution of QCD coupling constant at finite temperature is considered by making use of the finite temperature renormalization group equation up to the one-loop order in the background field method with the Feynman gauge and the…

High Energy Physics - Theory · Physics 2007-05-23 M. Chaichian , M. Hayashi

We propose a novel quasiparticle interpretation of the equation of state of deconfined QCD at finite temperature. Using appropriate thermal masses, we introduce a phenomenological parametrization of the onset of confinement in the vicinity…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. A. Schneider , W. Weise

To all orders of perturbation theory, the renormalization of the topological charge density in dimensionally regularized QCD is shown to require no more than an additive renormalization proportional to the divergence of the flavour-singlet…

High Energy Physics - Phenomenology · Physics 2021-06-22 Martin Lüscher , Peter Weisz

We study correlation functions of the energy-momentum tensor (EMT) in $(2+1)$-flavor full QCD to evaluate QGP viscosities. We adopt nonperturbatively improved Wilson fermion and Iwasaki gauge action. Our degenerate $u$, $d$ quark mass is…

We report the renormalization and mixing constants to one-loop order for the quark and gluon energy-momentum (EM) tensor operators on the lattice. A unique aspect of this mixing calculation is the definition of the glue EM tensor operator.…

High Energy Physics - Lattice · Physics 2017-04-26 Michael Glatzmaier , Keh-Fei Liu , Yibo Yang

Nonperturbative Flow Equations within an effective constituent quark model for two quark flavors with Heat-Kernel methods are studied.

Nuclear Theory · Physics 2007-05-23 B. -J. Schaefer , H. J. Pirner

The renormalization of the effective QCD-Hamiltonian theory for the quark-antiquark channel is performed in terms of a renormalized or fixed-point Hamiltonian that leads to subtracted dynamical equations. The fixed point-Hamiltonian brings…

High Energy Physics - Phenomenology · Physics 2009-11-07 T. Frederico , H. -C. Pauli

In this paper, we systematically study the effective action for non-commutative QED in the static limit at high temperature. When $\theta p^{2}\ll 1$, where $\theta$ represents the magnitude of the parameter for non-commutativity and $p$…

High Energy Physics - Theory · Physics 2008-11-26 F. T. Brandt , Ashok Das , J. Frenkel , S. Pereira , J. C. Taylor

We consider the simplest non-trivial local composite operators in the massless Sine-Gordon model, which are $\partial_\mu \phi \, \partial_\nu \phi$ and the stress tensor $T_{\mu\nu}$. We show that even in the finite regime $\beta^2 < 4…

Mathematical Physics · Physics 2025-04-23 Markus B. Fröb , Daniela Cadamuro

In quantum field theories at finite temperature spectral functions describe how particle systems behave in the presence of a thermal medium. Although data from lattice simulations can in principle be used to determine spectral function…

High Energy Physics - Lattice · Physics 2023-01-11 Peter Lowdon , Owe Philipsen

We review the formalism of the effective average action in quantum field theory which corresponds to a coarse grained free energy in statistical mechanics. The associated exact renormalization group equation and possible nonperturbative…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. -U. Jungnickel , C. Wetterich
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