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We study the anomalous breaking of U_A(1) symmetry just above the QCD phase transition for zero and two flavors of quarks, using a staggered fermion, lattice discretization. The properties of the QCD phase transition are expected to depend…

High Energy Physics - Lattice · Physics 2009-10-31 Shailesh Chandrasekharan , Dong Chen , Norman Christ , Weonjong Lee , Robert Mawhinney , Pavlos Vranas

The nature of chiral phase transition for two flavor QCD is an interesting but unresolved problem. One of the most intriguing issues is whether or not the anomalous U(1) symmetry in the flavor sector is effectively restored along with the…

High Energy Physics - Lattice · Physics 2016-11-23 Sayantan Sharma , Viktor Dick , Frithjof Karsch , Edwin Laermann , Swagato Mukherjee

We use strongly coupled lattice QED with two flavors of massless staggered fermions to model the physics of pions in two-flavor massless QCD. Our model has the right chiral symmetries and can be studied efficiently with cluster algorithms.…

High Energy Physics - Lattice · Physics 2008-11-26 Shailesh Chandrasekharan , Abhijit C. Mehta

The nature of chiral phase transition for QCD with two light quark flavors is not yet completely resolved. This is primarily because one has to understand whether or not the anomalous U(1) symmetry in the flavor sector is effectively…

High Energy Physics - Lattice · Physics 2018-01-26 Sayantan Sharma

In order to model pions of two-flavor QCD we consider a lattice field theory involving two flavors of staggered quarks interacting strongly with U(1) gauge fields. For massless quarks, this theory has an $SU_L(2)\times SU_R(2) \times…

High Energy Physics - Lattice · Physics 2008-11-26 D. J. Cecile , Shailesh Chandrasekharan

We study a strongly coupled $Z_2$ lattice gauge theory with two flavors of quarks, invariant under an exact $\mathrm{SU}(2)\times \mathrm{SU}(2) \times \mathrm{U}_A(1) \times \mathrm{U}_B(1)$ symmetry which is the same as QCD with two…

High Energy Physics - Lattice · Physics 2010-12-09 Shailesh Chandrasekharan , Anyi Li

We investigate the axial U(1) anomaly of two-flavor QCD at temperatures 190--330 MeV. In order to preserve precise chiral symmetry on the lattice, we employ the Mobius domain-wall fermion action as well as overlap fermion action implemented…

High Energy Physics - Lattice · Physics 2021-04-28 S. Aoki , Y. Aoki , G. Cossu , H. Fukaya , S. Hashimoto , T. Kaneko , C. Rohrhofer , K. Suzuki

When the quark masses are lighter than those in QCD, the standard lore is that a chiral transition of first order must emerge for three, light flavors. Recently, however, numerical simulations on the lattice suggest that the chiral…

High Energy Physics - Phenomenology · Physics 2025-01-15 Francesco Giacosa , Győző Kovács , Péter Kovács , Robert D. Pisarski , Fabian Rennecke

In our recent study of two-flavor lattice QCD using chiral fermions, we find strong suppression of axial U(1) anomaly above the critical temperature of chiral phase transition. Our simulation data also indicate suppression of topological…

High Energy Physics - Lattice · Physics 2018-04-18 Hidenori Fukaya

To date numerical simulations of lattice QCD have not found a chiral phase transition of first order which is expected to occur for sufficiently light pions. We show how the restoration of an exact global chiral symmetry can strongly…

High Energy Physics - Phenomenology · Physics 2024-07-25 Robert D. Pisarski , Fabian Rennecke

We investigate the chiral properties of SU(2) gauge theory with six flavors, i.e. six light Dirac fermions in the fundamental representations by lattice simulation, and point out that the spontaneous breakdown of chiral symmetry does not…

High Energy Physics - Lattice · Physics 2013-11-27 M. Hayakawa , K. -I. Ishikawa , S. Takeda , M. Tomii , N. Yamada

We study two-color lattice QCD with massless staggered fermions in the strong coupling limit using a new and efficient cluster algorithm. We focus on the phase diagram of the model as a function of temperature $T$ and baryon chemical…

High Energy Physics - Lattice · Physics 2007-05-23 Shailesh Chandrasekharan , Fu-Jiun Jiang

The magnitude of the $U_A(1)$ symmetry breaking is expected to affect the nature of $N_f=2$ QCD chiral phase transition. The explicit breaking of chiral symmetry due to realistic light quark mass is small, so it is important to use chiral…

High Energy Physics - Lattice · Physics 2015-10-15 Sayantan Sharma , Viktor Dick , Frithjof Karsch , Edwin Laermann , Swagato Mukherjee

We introduce the \emph{flavoured lattice Schwinger model}, a $(1{+}1)$-dimensional $U(1)$ lattice gauge theory in which the fermion doubling problem is resolved by staggering a $\mathbb{Z}_{2}$ flavour degree of freedom rather than…

High Energy Physics - Lattice · Physics 2026-04-21 Dogukan Bakircioglu

We study thermodynamics of strongly coupled lattice QCD with two colors of massless staggered fermions as a function of the baryon chemical potential $\mu$ in 3+1 dimensions using a new cluster algorithm. We find evidence that the model…

High Energy Physics - Lattice · Physics 2009-11-11 Shailesh Chandrasekharan , Fu-Jiun Jiang

We study the SU(3) gauge theory with Nf=12 flavors in the fundamental representation by use of lattice simulations with staggered fermions. With a non-improved action we observe a chiral zero-temperature (bulk) transition separating a…

High Energy Physics - Lattice · Physics 2013-03-26 Albert Deuzeman , Maria Paola Lombardo , Tiago Nunes da Silva , Elisabetta Pallante

Results from numerical simulations of full, two flavor QCD thermodynamics at N_t=4 with domain wall fermions are presented. For the first time a numerical simulation of the full QCD phase transition displays a low temperature phase with…

High Energy Physics - Lattice · Physics 2019-08-14 Pavlos Vranas

We study the chiral symmetry in two-color QCD with N massless flavors at finite temperature, using an effective theory. For the gauge group SU(2), the chiral symmetry is enlarged to SU(2N), which is then spontaneously broken to Sp(2N) at…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Wirstam

We examine the axial U(1) symmetry near and above the finite temperature phase transition in two-flavor QCD using lattice QCD simulations. Although the axial U(1) symmetry is always violated by quantization, (i.e.) the chiral anomaly, the…

High Energy Physics - Lattice · Physics 2013-08-09 Guido Cossu , Sinya Aoki , Hidenori Fukaya , Shoji Hashimoto , Takashi Kaneko , Hideo Matsufuru , Jun-Ichi Noaki

Violation of scale symmetry, scale anomaly, being a radical concept in quantum field theory, is of importance to comprehend the vacuum structure of QCD, and should potentially contribute to the chiral phase transition in thermal QCD, as…

High Energy Physics - Phenomenology · Physics 2022-01-05 Mamiya Kawaguchi , Shinya Matsuzaki , Akio Tomiya
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