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We study the lattice \njl~model with two flavors of Wilson fermions in the large $N$ limit, where $N$ is the number of `colors'. For large values of the four-fermion coupling we find a phase in which both, flavor symmetry and parity, are…

高能物理 - 格点 · 物理学 2009-10-22 S. Aoki , S. Boettcher , A. Gocksch

In 2+1 dimensions, QED becomes exactly solvable for all values of the fermion charge $e$ in the limit of many fermions $N_f\gg 1$. We present results for the free energy density at finite temperature $T$ to next-to-leading-order in large…

高能物理 - 理论 · 物理学 2019-10-30 Paul Romatschke , Matias Säppi

We study the behaviour of spin $1/2$ charmed baryons as the temperature increases. We make use of anisotropic lattice QCD simulations with $N_f = 2 + 1$ dynamical flavours. After determining the positive and negative parity ground state…

高能物理 - 格点 · 物理学 2024-03-21 Gert Aarts , Chris Allton , M. Naeem Anwar , Ryan Bignell , Timothy J. Burns , Benjamin Jäger , Jon-Ivar Skullerud

The massive N-flavor Schwinger model is analyzed by the bosonization method. The problem is reduced to the quantum mechanics of N degrees of freedom in which the potential needs to be self-consistently determined by its ground-state wave…

高能物理 - 理论 · 物理学 2008-11-26 Yutaka Hosotani , Ramon Rodriguez

We gauge the experimentally observed flavor (family) index of chiral lepton and quark fields and argue that the resulting non-vectorial SU(3)_F dynamics completely self-breaks. This breakdown generates fermion masses, which in turn trigger…

高能物理 - 唯象学 · 物理学 2011-11-04 Petr Benes , Jiri Hosek , Adam Smetana

The structure of chiral symmetry restorations at finite temperature is thoroughly investigated in the supersymmetric Nambu-Jona-Lasinio model with a soft supersymmetry breaking term. It is found that the broken chiral symmetry at vanishing…

高能物理 - 唯象学 · 物理学 2009-10-31 J. Hashida , T. Muta , K. Ohkura

We argue that all fermionic states characterized by the (four) velocity not momentum of the fermion are always occupied by a single fermion. So there is no fermion number violation whatsoever. The mass of an elementary particle is not…

高能物理 - 唯象学 · 物理学 2007-05-23 Jyoti Sekhar Bhattacharyya

Dynamical equations for fermion masses are derived using high scale universal mass generation and consequent mass evolution due to $SU(3), SU(2)$, and U(1$ gauge interaction. Assuming mass generation at the GUT scale $M=10^{14}$ GeV, one…

高能物理 - 唯象学 · 物理学 2011-06-21 Yu. A. Simonov

We consider a field theoretical model where a SU(2) fermion doublet, subjected to non-Abelian gauge interactions, is also coupled to a complex scalar field doublet via a Yukawa and an irrelevant Wilson-like term. Despite the presence of…

The expectation value of the complex phase factor of the fermion determinant is computed to leading order in the $p$-expansion of the chiral Lagrangian. The computation is valid for $\mu<m_\pi/2$ and determines the dependence of the sign…

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

The (discrete) Gross-Neveu model is studied in a lattice realization with an N-component Majorana Wilson fermion field. It has an internal O(N) symmetry in addition to the euclidean lattice symmetries. The discrete chiral symmetry for…

高能物理 - 格点 · 物理学 2008-11-26 Ulli Wolff

Taking inspiration from lattice QCD results, we argue that a non-perturbative mass term for fermions can be generated as a consequence of the dynamical phenomenon of spontaneous chiral symmetry breaking, in turn triggered by the explicitly…

高能物理 - 格点 · 物理学 2013-12-06 Roberto Frezzotti , GianCarlo Rossi

Thanks to the development in quantum Monte Carlo technique, the compact U(1) lattice gauge theory coupled to fermionic matter at (2+1)D is now accessible with large-scale numerical simulations, and the ground state phase diagram as a…

强关联电子 · 物理学 2019-08-21 Wei Wang , Da-Chuan Lu , Xiao Yan Xu , Yi-Zhuang You , Zi Yang Meng

We propose a model based on the $SU(5)$ grand unification with an extra $A_{4}\otimes Z_{2}\otimes Z_{2}^{\prime }\otimes Z_{2}^{\prime \prime}\otimes U\left( 1\right) _{f}$ flavor symmetry, which accounts for the pattern of the SM fermion…

高能物理 - 唯象学 · 物理学 2015-06-19 Miguel D. Campos , A. E. Cárcamo Hernández , S. Kovalenko , Iván Schmidt , Erik Schumacher

A non perturbative proof of the mass generation of fermions via the Higgs mechanism is given. This is done by showing exponential decay of the two point fermionic correlation function in a weakly coupled U(1) Higgs-Yukawa theory on a unit…

数学物理 · 物理学 2023-03-07 Abhishek Goswami

We study the (2+1)-flavor QCD at nonzero temperatures using nonperturbatively improved Wilson quarks of the physical masses by the fixed scale approach. We perform physical point simulations at finite temperatures with the coupling…

高能物理 - 格点 · 物理学 2015-11-17 T. Umeda , S. Ejiri , R. Iwami , K. Kanaya

We show, without relying on any unproven assumptions, that a low-density free fermion chain exhibits thermalization in the following (restricted) sense. We choose the initial state as a pure state drawn randomly from the Hilbert space in…

统计力学 · 物理学 2026-04-13 Naoto Shiraishi , Hal Tasaki

We construct a conformal lattice theory with only gauge degrees of freedom based on the induced non-local gauge action in QED$_3$ coupled to large number of flavors $N$ of massless two-component Dirac fermions. This lattice system displays…

高能物理 - 格点 · 物理学 2020-12-23 Nikhil Karthik , Rajamani Narayanan

The temperature of sphaleron freeze-out, $T\approx 130$ GeV, sets a scale for mechanisms for generating lepton asymmetries and converting them to baryon asymmetry (leptogenesis). For Majorana masses $M \gg \pi T$, leptogenesis takes place…

高能物理 - 唯象学 · 物理学 2022-07-27 M. Laine

We study the thermodynamics of massive Gross-Neveu models with explicitly broken discrete or continuous chiral symmetries for finite temperature and fermion densities. The large $N$ limit is discussed bearing attention to the no-go theorems…

高能物理 - 理论 · 物理学 2009-10-28 A. Barducci , R. Casalbuoni , R. Gatto , M. Modugno , G. Pettini