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A short review of some of the most relevant contributions to non-perturbative QED is done. Since a Gaussian behaviour of QED \`a la $\lambda\phi^4$ has been ruled out by the numerical data, I analyse the other two most reliable scenarios,…

高能物理 - 格点 · 物理学 2009-10-28 Vicente Azcoiti

I give a review and progress report on studies of lattice QED. I emphasize analytical results and methods that are applied in data analysis. Also, I derive some bounds for the critical exponents and establish their connection with scaling…

高能物理 - 格点 · 物理学 2009-10-22 Aleksandar Kocic

Since four-fermion operators in strongly coupled $QED$ are nonperturbatively renormalizable, we analyze here the phase diagram and critical behaviour of the Gauged Nambu-Jona Lasinio model. Our mean field approximation relates the critical…

高能物理 - 格点 · 物理学 2009-10-28 V. Azcoiti , G. Di Carlo , A. Galante , A. F. Grillo , V. Laliena , C. E. Piedrafita

We present results from a Monte Carlo simulation of the Nambu - Jona-Lasinio model, with continuous SU(2)xSU(2) chiral symmetry, in four Euclidean dimensions. Different model equations of state, corresponding to different theoretical…

高能物理 - 格点 · 物理学 2009-10-30 Simon Hands , John B. Kogut

We study the critical region of lattice QED4 in the quenched approximation. The issue of triviality is addressed by contrasting simulation results for $<\bar\psi\psi>$ and for the susceptibilities with the predictions of two critical…

高能物理 - 格点 · 物理学 2009-09-25 M-P Lombardo , A. Kocic , J. B. Kogut

We study the scaling behavior of physical observables in strongly-flavored asymptotically free gauge theories, such as many-flavor QCD. Such theories approach a quantum critical point when the number of fermion flavors is increased. It is…

高能物理 - 唯象学 · 物理学 2011-09-29 Jens Braun , Christian S. Fischer , Holger Gies

We demonstrate that in unquenched quantum electrodynamics (QED), chiral symmetry breaking ceases to exist above a critical number of fermion flavours $N_f$. This is a necessary and sufficient consequence of the fact that there exists a…

高能物理 - 唯象学 · 物理学 2011-02-21 A. Bashir , C. Calcaneo-Roldan , L. X. Gutiérrez-Guerrero , M. E. Tejeda-Yeomans

We study the problem of triviality in the four dimensional Nambu-Jona-Lasinio model with discrete chiral symmetry using both large-N expansions and lattice simulations. We find that logarithmic corrections to scaling appear in the equation…

高能物理 - 格点 · 物理学 2009-10-22 Seyong Kim , Aleksandar Kocic , John Kogut

In this paper, we address the logarithmic corrections to the leading power laws that govern thermodynamic quantities as a second-order phase transition point is approached. For phase transitions of spin systems on d-dimensional lattices,…

统计力学 · 物理学 2015-07-02 V. Palchykov , C. von Ferber , R. Folk , Yu. Holovatch , R. Kenna

We analyse the phase diagram of the lattice gauged Nambu-Jona Lasinio model with the help of a mean field approximation plus numerical simulations. We find a phase transition line in the coupling parameters space separating the chirally…

高能物理 - 格点 · 物理学 2015-06-25 V. Azcoiti , G. Di Carlo , A. Galante , A. F. Grillo , V. Laliena , C. E. Piedrafita

We have simulated lattice QCD directly in the chiral limit of zero quark mass by adding an additional, irrelevant 4-fermion interaction to the standard action. Using lattices having temporal extent of six and spatial extents of twelve and…

高能物理 - 格点 · 物理学 2009-10-31 J. B. Kogut , D. K. Sinclair

We extend earlier work on leading logarithms in the massive nonlinear O(n) sigma model to the case of SU(N)xSU(N)/SU(N) which coincides with mesonic chiral perturbation theory for N flavours of light quarks. We discuss the leading…

高能物理 - 唯象学 · 物理学 2013-05-06 Johan Bijnens , Karol Kampf , Stefan Lanz

We study the scaling behaviour of the pseudo-critical couplings for the chiral phase transition in two-flavour QCD. We show that all existing results from lattice simulations on lattices with temporal extent $N_\tau = 4$, 6 and 8 can be…

高能物理 - 格点 · 物理学 2009-10-22 Frithjof Karsch

By adding a small, irrelevant four fermi interaction to the action of noncompact lattice Quantum Electrodynamics (QED), the theory can be simulated with massless quarks in a vacuum free of lattice monopoles. The lattice theory possesses a…

高能物理 - 格点 · 物理学 2009-11-07 S. Kim , John B. Kogut , Maria-Paola Lombardo

We simulate four flavor noncompact lattice QED using the Hybrid Monte Carlo algorithm on $10^4$ and $16^4$ lattices. Measurements of the monopole susceptibility and the percolation order parameter indicate a transition at $\beta = {1/e^2} =…

高能物理 - 格点 · 物理学 2009-10-22 A. Kocic , J. B. Kogut , K. C. Wang

We argue that theories with fundamental fermions which undergo chiral symmetry breaking have several universal features which are qualitatively different than those of theories with fundamental scalars. Several bounds on the critical…

高能物理 - 理论 · 物理学 2009-10-22 Aleksandar KOCIC , John KOGUT

In this work, we explore the ground state of QCD system and the relevant collective modes in a parallel electromagnetic (EM) field within the effective three-flavor Nambu--Jona-Lasinio model. From the features of neutral chiral condensates,…

核理论 · 物理学 2020-06-24 Gaoqing Cao

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…

高能物理 - 格点 · 物理学 2013-03-26 Albert Deuzeman , Maria Paola Lombardo , Tiago Nunes da Silva , Elisabetta Pallante

We evaluate the next-to-leading order correction to the Nambu-Jona-Lasinio model starting from quantum chromodynamics. We show that a systematic expansion exists, starting from a given set of exact classical solutions, so that higher order…

高能物理 - 唯象学 · 物理学 2016-11-24 Marco Frasca

The study of QCD with two light dynamical fermions is of fundamental importance to understand the mechanism of color confinement. We present results of a numerical investigation on the order of the chiral phase transition with $N_f = 2$ by…

高能物理 - 格点 · 物理学 2008-11-26 M. D'Elia , A. Di Giacomo , C. Pica
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