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We compute free energy of quark matter at asymptotically high baryon number density in the presence of non zero strange quark mass including dynamics of pseudo Nambu-Goldstone bosons due to chiral symmetry breaking, extending previously…

High Energy Physics - Phenomenology · Physics 2008-11-26 Andrei Kryjevski , Daisuke Yamada

We present results of a simulation of 2-flavor QCD on a 4x16^3 lattice using p4-improved staggered fermions with bare quark mass m/T=0.4. Derivatives of the thermodynamic grand canonical partition function Z(V,T,mu_u,mu_d) with respect to…

High Energy Physics - Lattice · Physics 2008-11-26 C. R. Allton , M. Doering , S. Ejiri , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , K. Redlich

We investigate the effects of low-lying fermion eigenmodes on the QCD partition function in the $\epsilon$-regime. The fermion determinant is approximated by a truncated product of low-lying eigenvalues of the overlap-Dirac operator. With…

High Energy Physics - Lattice · Physics 2009-11-11 Kenji Ogawa , Shoji Hashimoto

The color-flavor transformation for the unitary group (Zirnbauer 1996) is extended to the special unitary group. The resulting partition function is represented as sum over disconnected sectors characterized by a U(1)-charge. Application to…

High Energy Physics - Lattice · Physics 2007-05-23 J. Budczies , Y. Shnir

We consider the phase diagram of twisted mass Wilson fermions of two-flavor QCD in the parameter space of the quark mass, the isospin chemical potential, the twist angle and the lattice spacing. This work extends earlier studies in the…

High Energy Physics - Lattice · Physics 2016-05-11 Oliver Janssen , Mario Kieburg , K. Splittorff , Jacobus J. M. Verbaarschot , Savvas Zafeiropoulos

We consider multi-flavor QED on a finite lattice at a finite chemical potential and show that the partition function only depends on the variables, $(\frac{\mu_i}{q_i} -\frac{\mu_1}{q_1})$, for $i=2,...$, where $q_i$, $i=1...$ are integer…

High Energy Physics - Lattice · Physics 2013-05-30 R. Narayanan

We derive Virasoro constraints for the zero momentum part of the QCD-like partition functions in the sector of topological charge $\nu$. The constraints depend on the topological charge only through the combination $N_f +\beta\nu/2$ where…

High Energy Physics - Theory · Physics 2009-11-07 D. Dalmazi , J. J. M. Verbaarschot

The order of the thermal phase transition in the chiral limit of Quantum Chromodynamics (QCD) with two dynamical flavors of quarks is a long-standing issue and still not known in the continuum limit. Whether the transition is first or…

High Energy Physics - Lattice · Physics 2016-11-09 Owe Philipsen , Christopher Pinke

Using combined strong coupling and hopping parameter expansions, we derive an effective three-dimensional theory from thermal lattice QCD with heavy Wilson quarks. The theory depends on traced Polyakov loops only and correctly reflects the…

High Energy Physics - Lattice · Physics 2012-01-27 Michael Fromm , Jens Langelage , Stefano Lottini , Owe Philipsen

Attempts to extract the order of the chiral transition of QCD at zero chemical potential, with two dynamical flavors of massless quarks, from simulations with progressively decreasing pion mass have remained inconclusive because of their…

High Energy Physics - Lattice · Physics 2018-11-13 Francesca Cuteri , Owe Philipsen , Alessandro Sciarra

We prove that QCD in the epsilon-regime of chiral Perturbation Theory is equivalent to chiral Random Matrix Theory for zero and both non-zero real and imaginary chemical potential mu. To this aim we prove a theorem that relates integrals…

High Energy Physics - Theory · Physics 2008-11-26 Francesco Basile , Gernot Akemann

We compare the grand canonical partition function at fixed chemical potential mu with the canonical partition function at fixed baryon number B, formally and by numerical simulations at mu=0 and B=0 with four flavours of staggered quarks.…

High Energy Physics - Lattice · Physics 2009-11-11 S. Kratochvila , Ph. de Forcrand

We review a method for numerical simulations of lattice gauge theories at non-zero baryonic chemical potential we recently proposed. We first report on a test of the method using a solvable model and then present results for the phase…

High Energy Physics - Lattice · Physics 2007-05-23 Vicente Azcoiti , Giuseppe Di Carlo , Angelo Galante , Victor Laliena

We discuss the supersymmetric formulation of the nonhermitian $\beta = 2$ random matrix partition function with one bosonic flavor. This partition function is regularized by adding one conjugate boson and fermion each. A supersymmetric…

High Energy Physics - Theory · Physics 2008-11-26 K. Splittorff , J. J. M. Verbaarschot , M. R. Zirnbauer

This paper reviews some recent progress on QCD functional integrals at nonzero chemical potentials. One issue discussed is the use of QCD inequalities for this regime. In particular, the positivity of the integrand of particular Euclidean…

High Energy Physics - Phenomenology · Physics 2016-11-23 Thomas D. Cohen

We study the low-energy behavior of metals coupled to gapless bosons. This problem arises in several contexts in modern condensed matter physics; we focus on the theory of metals near continuous quantum phase transitions (where the boson is…

Strongly Correlated Electrons · Physics 2014-06-06 A. Liam Fitzpatrick , Shamit Kachru , Jared Kaplan , Steven A. Kivelson , S. Raghu

The dynamics in QCD with different number of fermion flavors N_f is discussed. The emphasis is on the description of the conformal phase transition with respect to N_f separating a phase with no confinement and chiral symmetry breaking and…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. A. Miransky

The low-energy physics of quantum chromodynamics (QCD) and ferromagnets is dominated by Goldstone bosons. While the effective theory of QCD - chiral perturbation theory - is well established in the particle physics community, the systematic…

Strongly Correlated Electrons · Physics 2014-10-14 Christoph P. Hofmann

The nature of the thermal phase transition of two flavor QCD in the chiral limit has an important implication for the QCD phase diagram. We carry out lattice QCD simulations in an attempt to address this problem. Simulations are conducted…

High Energy Physics - Lattice · Physics 2018-07-04 Liang-Kai Wu , Fa-Ling Zhang

We have simulated two-colour four-flavour QCD at non-zero chemical potential $\mu$ for quark number. Simulations were performed on $8^4$ and $12^3 \times 24$ lattices. Clear evidence was seen for the formation of a colourless diquark…

High Energy Physics - Lattice · Physics 2014-11-17 J. B. Kogut , D. K. Sinclair , S. J. Hands , S. E. Morrison