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Related papers: On the consistency of the Aoki-phase

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We present an update on the study of the QCD phase transition with 3 flavors of M\"obius domain wall fermions at zero baryon density. We performed simulations on lattices of size $36^3\times12\times16$ and $24^3\times12\times32$ with a…

High Energy Physics - Lattice · Physics 2024-01-11 Yu Zhang , Yasumichi Aoki , Shoji Hashimoto , Issaku Kanamori , Takashi Kaneko , Yoshifumi Nakamura

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

The explicit breaking of chiral symmetry of the Wilson fermion action results in additive quark mass renormalization. Moreover, flavour singlet and non-singlet scalar currents acquire different renormalization constants with respect to…

High Energy Physics - Lattice · Physics 2016-10-12 Gunnar S. Bali , Enno E. Scholz , Jakob Simeth , Wolfgang Söldner

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

Parity and flavor symmetry is not broken in QCD. Using this fact, we propose a new method to measure the chiral condensate in lattice QCD using Wilson fermions with an operator that breaks parity and flavor in addition to the chiral…

High Energy Physics - Theory · Physics 2009-10-30 Khalil M. Bitar , Urs M. Heller , Rajamani Narayanan

We study cutoff effects at tree-level of perturbation theory for standard Wilson and Wilson twisted mass fermionic lattice actions with Nf=2 flavour degenerate quarks. The discretization effects are investigated by computing the mass…

High Energy Physics - Lattice · Physics 2009-04-14 K. Cichy , J. Gonzalez Lopez , K. Jansen , A. Kujawa , A. Shindler

Aoki, Fukaya, and Taniguchi claim that both the spectral density of the Dirac operator at the origin and the topological susceptibility must vanish identically for sufficiently small but nonzero mass $m$ in the chirally symmetric phase of…

High Energy Physics - Lattice · Physics 2025-10-29 Matteo Giordano

We present further data in search of a parity-flavor-breaking phase in simulations of dynamical QCD with two flavors of light Wilson fermions in the strong coupling region. This is done on lattice sizes of 4^4 an up to 10^4 for a variety of…

High Energy Physics - Lattice · Physics 2009-10-30 Khalil M. Bitar

We consider the "two flavour" Nambu--Jona-Lasinio model in the presence of a vector and an axial external chemical potentials and study the phase structure of the model at zero temperature. The Nambu--Jona-Lasinio model is often used as a…

High Energy Physics - Phenomenology · Physics 2015-06-17 Alexander A. Andrianov , Domenec Espriu , Xumeu Planells

We present a new normalization condition for the axial current, derived from the PCAC relation with non-vanishing quark mass. This condition is expected to reduce mass effects in the chiral extrapolation of the results for the normalization…

High Energy Physics - Lattice · Physics 2009-11-11 Michele Della Morte , Roland Hoffmann , Francesco Knechtli , Rainer Sommer , Ulli Wolff

We report progress in our exploration of the finite-temperature phase structure of two-flavour lattice QCD with twisted-mass Wilson fermions and a tree-level Symanzik-improved gauge action for a temporal lattice size N_{\tau}=8. Extending…

High Energy Physics - Lattice · Physics 2010-01-21 E. -M. Ilgenfritz , K. Jansen , M. P. Lombardo , M. Müller-Preussker , M. Petschlies , O. Philipsen , L. Zeidlewicz

We have studied lattice QCD with an additional, irrelevant 4-fermion interaction having a U(1)xU(1) chiral symmetry, at finite temperatures. Adding this 4-fermion term allowed us to work at zero quark mass, which would have otherwise been…

High Energy Physics - Lattice · Physics 2014-11-17 J. B. Kogut , J. -F. Lagae , D. K. Sinclair

We compare extensive simulations of QCD with 8 and 12 flavors of degenerate quarks, using the DBW2 gauge action, naive staggered fermions, and the rational hybrid Monte Carlo algorithm. A variety of values of the coupling constant, quark…

High Energy Physics - Lattice · Physics 2010-02-17 Xiao-Yong Jin , Robert D. Mawhinney

Despite intense experimental and theoretical research, the QCD phase diagram at finite baryon density remains to a large extent unexplored. From the theoretical side, the obvious non-perturbative approach is lattice QCD simulations, which…

It is widely believed that chiral symmetry is spontaneously broken at zero temperature in the strong coupling limit of staggered fermions, for any number of colors and flavors. Using Monte Carlo simulations, we show that this conventional…

High Energy Physics - Lattice · Physics 2012-11-15 Philippe de Forcrand , Seyong Kim , Wolfgang Unger

We present the results of a non-perturbative determination of the improvement coefficient $c_\mathrm{V}$ and the renormalisation factor $Z_\mathrm{V}$, which define the renormalised vector current in three-flavour $\mathrm{O}(a)$ improved…

High Energy Physics - Lattice · Physics 2021-04-07 Jochen Heitger , Fabian Joswig

Exact chiral symmetry at finite lattice spacing would preclude the axial anomaly. In order to describe a continuum quantum field theory of Dirac fermions, lattice actions with purported exact chiral symmetry must break the flavor-singlet…

High Energy Physics - Lattice · Physics 2014-11-21 Brian C. Tiburzi

Using the O(a) Symanzik improved action an estimate is given for the strange quark mass for unquenched (n_f=2) QCD. The determination is via the axial Ward identity (AWI) and includes a non-perturbative evaluation of the renormalisation…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , A. C. Irving , D. Pleiter , P. E. L. Rakow , G. Schierholz , H. Stüben , J. M. Zanotti

The exact nature of the QCD phase transition has still not been determined conclusively, and there are contradictory results from lattice QCD simulations about the scaling behavior for two quark flavors. Ultimately, this issue can be…

High Energy Physics - Phenomenology · Physics 2010-04-21 Jens Braun , Bertram Klein

We study the phase structure of QCD at finite temperatures with two flavors of dynamical quarks on a lattice with the size $N_s^3 \times N_t=16^3 \times 4$, using a renormalization group improved gauge action and a clover improved Wilson…

High Energy Physics - Lattice · Physics 2008-11-26 N. Ukita , S. Ejiri , T. Hatsuda , N. Ishii , Y. Maezawa , S. Aoki , K. Kanaya