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For the one-loop contribution to the QCD vacuum tunneling amplitude by quarks of generic mass value, we make use of a calculational scheme exploiting a large mass expansion together with a small mass expansion. The large mass expansion for…

High Energy Physics - Phenomenology · Physics 2009-10-31 O-Kab Kwon , Choonkyu Lee , Hyunsoo Min

The expectation value of the complex phase factor of the fermion determinant is computed in the microscopic domain of QCD at nonzero chemical potential. We find that the average phase factor is non-vanishing below a critical value of the…

High Energy Physics - Lattice · Physics 2008-11-26 K. Splittorff , J. J. M. Verbaarschot

We present a method to compute the responses of meson screening masses to the chemical potential by Taylor expanding the correlator using lattice QCD simulation. We start by comparing the free theory lattice results with the analytical…

High Energy Physics - Lattice · Physics 2023-08-09 Rishabh Thakkar , Prasad Hegde

One suggestion for determining the properties of QCD at finite temperatures and densities is to carry out lattice simulations with an imaginary chemical potential whereby no sign problem arises, and to convert the results to real physical…

High Energy Physics - Lattice · Physics 2009-10-31 A. Hart , M. Laine , O. Philipsen

We present results on the equation of state in QCD with two light quark flavors and a heavier strange quark. Calculations with improved staggered fermions have been performed on lattices with temporal extent Nt =4 and 6 on a line of…

I derive a general effective theory for hot and/or dense quark matter. After introducing general projection operators for hard and soft quark and gluon degrees of freedom, I explicitly compute the functional integral for the hard quark and…

Nuclear Theory · Physics 2007-05-23 Philipp T. Reuter

A brief summary of the formulation of QCD at finite chemical potental, $\mu$, is presented. The failure of the quenched approximation to the problem is reviewed. Results are presented for dynamical simulations of the theory at strong and…

High Energy Physics - Lattice · Physics 2009-10-30 I. M. Barbour , S. E. Morrison , E. G. Klepfish , J. B. Kogut , M. -P. Lombardo

The canonical partition function is related to the grand canonical one through the fugacity expansion and is known to have no sign problem. In this paper we perform the fugacity expansion by a method of the hopping parameter expansion in…

High Energy Physics - Lattice · Physics 2015-04-17 Atsushi Nakamura , Shotaro Oka , Yusuke Taniguchi

Recent developments of perturbation theory at finite temperature based on effective field theory methods are reviewed. These methods allow the contributions from the different scales to be separated and the perturbative series to be…

High Energy Physics - Phenomenology · Physics 2009-10-30 Agustin Nieto

A new approach to the inclusion of virtual quark effects in lattice QCD simulations is presented. Infrared modes which build in the chiral physics in the light quark mass limit are included exactly and in a gauge invariant way. At fixed…

High Energy Physics - Lattice · Physics 2009-10-31 A. Duncan , E. Eichten , H. Thacker

We present results on the QCD phase diagram for small densities without reweighting. Our simulations are performed with an imaginary chemical potential mu_I for which the fermion determinant is positive. On an 8^3x4 lattice with 2 flavors…

High Energy Physics - Lattice · Physics 2009-11-07 P. de Forcrand , O. Philipsen

The quark-connected leading-order hadronic contributions to the running of the electromagnetic fine structure constant, $\alpha_{\rm QED}$, and the weak mixing angle, $\theta_W$, are determined by a four-flavour lattice QCD computation with…

High Energy Physics - Lattice · Physics 2015-12-09 Florian Burger , Karl Jansen , Marcus Petschlies , Grit Pientka

We investigate the behavior of the chiral condensate in lattice QCD at finite temperature and finite chemical potential. The study was done using two flavors of light quarks and with a series of $\beta$ and $ma$ at the lattice size…

High Energy Physics - Lattice · Physics 2015-07-29 Rui Wang , Ying Chen , Ming Gong , Chuan Liu , Yu-Bin Liu , Zhao-Feng Liu , Jian-Ping Ma , Xiang-Fei Meng , Jian-Bo Zhang

We analytically derive a decomposition of the lattice fermion determinant for Wilson's Dirac operator with chemical potential into winding sectors, i.e., factors with a fixed number of quarks. Dividing the lattice into four domains, the…

High Energy Physics - Lattice · Physics 2009-01-01 Julia Danzer , Christof Gattringer

Under a rescaling of longitudinal coordinates $x^{0,3}$ by a factor $\lambda$ which is taken to zero, the classical QCD action simplifies dramatically. This is the high-energy limit, as $\lambda$ is of order $s^{-1/2}$, where $s$ is the…

High Energy Physics - Phenomenology · Physics 2009-09-02 Peter Orland , Jing Xiao

We derive an analytic expression for one-loop effective action of QCD+QED at zero and finite temperatures by using the Schwinger's proper time method. The result is a nonlinear effective action not only for electromagnetic and…

High Energy Physics - Phenomenology · Physics 2015-07-22 Sho Ozaki , Takashi Arai , Koichi Hattori , Kazunori Itakura

We advance a novel method for the finite-temperature effective action for nonequilibrium quantum fields and find the QED effective action in time-dependent electric fields, where charged pairs evolve out of equilibrium. The imaginary part…

High Energy Physics - Theory · Physics 2014-11-21 Sang Pyo Kim , Hyun Kyu Lee , Yongsung Yoon

We demonstrate that at finite density and sufficiently high temperatures, phase-quenched (PQ) lattice simulations combined with perturbation theory provide a new precision approach to determining the thermodynamics of QCD across a wide arc…

High Energy Physics - Phenomenology · Physics 2025-11-14 Tyler Gorda , Pablo Navarrete , Risto Paatelainen , Leon Sandbote , Kaapo Seppänen

In these lectures, we discuss different types of renormalization problems in QCD and their non-perturbative solution in the framework of the lattice formulation. In particular the recursive finite size methods to compute the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Rainer Sommer

In this thesis the finite temperature transition between confined and deconfined matter is studied at zero and nonzero quark densities. The findings are relevant for the understanding of the evolution of the early Universe and contemporary…

High Energy Physics - Lattice · Physics 2011-04-20 Gergely Endrodi
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