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Because the staggered fermion determinant is complex at nonzero mu, taking its fourth root leads to phase ambiguities. These unphysical effects cause the measure to become discontinuous; the problem becomes acute when Re mu exceeds…

高能物理 - 格点 · 物理学 2009-09-29 Benjamin Svetitsky , Yigal Shamir , Maarten Golterman

We propose a new method to investigate the thermal properties of QCD with a small chemical potential $(\mu)$. The derivatives of the phase transition point with respect to $\mu$ are computed for 2 flavors of p4-improved staggered fermions.…

高能物理 - 格点 · 物理学 2015-06-25 S. Ejiri , C. R. Allton , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , L. Scorzato

We review our results for the QCD phase diagram at baryonic chemical potential mu_B \leq pi T. Our simulations are performed with an imaginary chemical potential mu_I for which the fermion determinant is positive. For 2 flavors of staggered…

高能物理 - 唯象学 · 物理学 2017-08-23 Ph. de Forcrand , O. Philipsen

We investigate analytically the fermionic fluctuation determinant at finite temperatures in the minimal standard model, including all operators up to dimension 6 and all contributions to the effective potential to all orders in the high $T$…

高能物理 - 唯象学 · 物理学 2014-11-17 Guy D. Moore

We study the thermal properties of QCD in the presence of a small quark chemical potential $\mu$. Derivatives of the phase transition point with respect to $\mu$ are computed at $\mu=0$ for 2 and 3 flavors of p-4 improved staggered fermions…

高能物理 - 格点 · 物理学 2009-11-07 S. Ejiri , C. R. Allton , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , Ch. Schmidt

SU(2) lattice gauge theory with dynamical fermion at non-zero chemical potential and at finite temperature is studied. We focus on the influence of chemical potential for quark condensate and mass of pseudoscalar meson at finite…

高能物理 - 格点 · 物理学 2019-08-17 Y. Liu , O. Miyamura , A. Nakamura , T. Takaishi

We show that in the microscopic domain of QCD (also known as the $\epsilon$-domain) at nonzero chemical potential the average phase factor of the fermion determinant is nonzero for $\mu < m_\pi/2$ and is exponentially suppressed for larger…

高能物理 - 格点 · 物理学 2008-11-26 K. Splittorff , J. J. M. Verbaarschot

Calculations using staggered quarks augmented with a root of the fermion determinant to reduce doubling give a qualitatively incorrect behavior in the small quark mass region. Attempts to circumvent this problem for the continuum limit…

高能物理 - 格点 · 物理学 2008-11-26 Michael Creutz

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…

高能物理 - 格点 · 物理学 2008-11-26 K. Splittorff , J. J. M. Verbaarschot

The phase structure of four-fermion theories is thoroughly investigated with varying temperature and chemical potential for arbitrary space-time dimensions $(2 \leq D < 4)$ by using the 1/N expansion method. It is shown that the chiral…

高能物理 - 唯象学 · 物理学 2009-10-28 T. Inagaki , T. Kouno , T. Muta

We study the response of meson masses to the chemical potential ($\partial{m}/\partial{\mu}$) at high temperature and at zero chemical potential on $N_f=2$ lattice with staggered fermions. Preliminary results for the meson composed of…

高能物理 - 格点 · 物理学 2012-08-27 TARO Collaboration , Ph. deForcrand , T. Hashimoto , S. Hioki , Y. Liu , H. Matsufuru , O. Miyamura , A. Nakamura , T. Takaishi , T. Umeda

We study two flavors of massless staggered fermions interacting via an on-site four-fermion inter- action and argue that the model contains an exotic quantum critical point separating the perturba- tive massless phase from a massive fermion…

高能物理 - 格点 · 物理学 2015-12-01 Venkitesh Ayyar

Quark number susceptibilities approach their ideal gas limit at sufficiently high temperatures. As in the case of other thermodynamic quantities, this limit itself is altered substantially on lattices with small temporal extent, N_t = 4-8,…

高能物理 - 格点 · 物理学 2009-11-07 Rajiv V. Gavai

We perform the first direct determination of the position of the leading singularity of the pressure in the complex chemical potential $\mu_B$ plane in lattice QCD using numerical simulations with 2-stout improved rooted staggered fermions.…

高能物理 - 格点 · 物理学 2021-02-03 Matteo Giordano , Konel Kapas , Sandor D. Katz , Daniel Nogradi , Attila Pasztor

Quantum chromodynamics with two zero-mass flavors is expected to exhibit a phase transition with O(4) critical behavior. Fixing the universality class is important for phenomenology and for facilitating the extrapolation of simulation data…

高能物理 - 格点 · 物理学 2008-11-26 C. Bernard , C. DeTar , S. Gottlieb , U. M. Heller , J. Hetrick , K. Rummukainen , R. L. Sugar , D. Toussaint

I give a status report on the validity of the so-called ``fourth-root trick'', i.e. the procedure of representing the determinant for a single fermion by the fourth root of the staggered fermion determinant. This has been used by the MILC…

高能物理 - 格点 · 物理学 2011-05-05 Stephen R. Sharpe

We propose a new method to investigate the thermal properties of QCD with a small quark chemical potential $\mu$. Derivatives of the phase transition point with respect to $\mu$ are computed at $\mu=0$ for 2 flavors of p-4 improved…

高能物理 - 格点 · 物理学 2008-11-26 C. R. Allton , S. Ejiri , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , Ch. Schmidt , L. Scorzato

In typical statistical mechanical systems the grand canonical partition function at finite volume is proportional to a polynomial of the fugacity $e^{\mu/T}$. The zero of this Lee-Yang polynomial closest to the origin determines the radius…

高能物理 - 格点 · 物理学 2022-01-21 Matteo Giordano , Kornel Kapas , Sandor D. Katz , Daniel Nogradi , Attila Pasztor

The phase structure of a four- and eight-fermion interaction model is investigated at finite temperature and chemical potential in arbitrary space-time dimensions, $2\leq D<4$. The effective potential and the gap equation are calculated in…

高能物理 - 唯象学 · 物理学 2011-03-14 Masako Hayashi , Tomohiro Inagaki , Wataru Sakamoto

We present a calculation of the transition temperature for 3 flavor QCD using p4-improved staggered fermions with two different variants of fattened links. We examine various susceptibilities at two different values for the temporal extent…

高能物理 - 格点 · 物理学 2019-08-14 Michael Cheng
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