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We derive universal scaling laws for physical observables such as the critical temperature, the chiral condensate, and the pion decay constant as a function of the flavor number near the conformal window of many-flavor QCD in the chiral…

High Energy Physics - Phenomenology · Physics 2010-09-21 Jens Braun , Holger Gies

We investigate the breakdown of collinear factorization for non-inclusive observables in hadron-hadron collisions. For pure QCD processes, factorization is violated at the three-loop level and it has a structure identical to that…

High Energy Physics - Phenomenology · Physics 2015-06-05 Jeffrey R. Forshaw , Michael H. Seymour , Andrzej Siodmok

Critical point of liquid-gas (LG) transition does not conform with the paradigm of spontaneous symmetry breaking because there is no broken symmetry in both phases. This stimulated the ongoing debate about the nature of the universality…

Statistical Mechanics · Physics 2018-06-22 Max Yarmolinsky , Anatoly Kuklov

We investigate the possibility to describe the quark mass hierarchies as well as the CKM quark mixing matrix without fine-tuning in a quark flavour model with modular $A_4$ symmetry. The quark mass hierarchies are considered in the vicinity…

High Energy Physics - Phenomenology · Physics 2023-07-26 S. T. Petcov , M. Tanimoto

In this paper, chiral symmetry breaking and its restoration are investigated in the mean field approximation of Nambu--Jona-Lasinio model. A first-order phase transition exists at low temperature, but is smeared out at high temperature. We…

High Energy Physics - Phenomenology · Physics 2013-12-09 Yi-lun Du , Zhu-fang Cui , Yong-hui Xia , Hong-shi Zong

We study the soft mode along the critical line in the phase diagram with the tricritical point, using the Nambu--Jona-Lasinio model. At the critical point with finite quark mass, the ordering density becomes a linear combination of the…

High Energy Physics - Phenomenology · Physics 2017-08-23 H. Fujii , M. Ohtani

We consider the influence of a power-law deviation from the critical coupling such that the system is critical at its surface. We develop a scaling theory showing that such a perturbation introduces a new length scale which governs the…

Statistical Mechanics · Physics 2009-10-06 Mario Collura , Dragi Karevski , Loïc Turban

A finite size scaling theory for the partition function zeros and thermodynamic functions of O(N) phi^4-theory in four dimensions is derived from renormalization group methods. The leading scaling behaviour is mean-field like with…

High Energy Physics - Lattice · Physics 2016-09-01 R. Kenna

The angle-dependent cusp anomalous dimension governs divergences coming from soft gluon exchanges between heavy particles, such as top quarks. We focus on the matter-dependent contributions and compute the first truly non-planar terms. They…

High Energy Physics - Theory · Physics 2021-01-20 Robin Brüser , Christoph Dlapa , Johannes M. Henn , Kai Yan

We study the effects of frozen boundaries in a Monte Carlo simulation near a first order phase transition. Recent theoretical analysis of the dynamics of first order phase transitions has enabled to state the scaling laws governing the…

High Energy Physics - Lattice · Physics 2009-11-07 M. Baig , R. Villanova

We study the nonconserved phase ordering dynamics of the d = 2, 3 random field Ising model, quenched to below the critical temperature. Motivated by the puzzling results of previous work in two and three di- mensions, reporting a crossover…

Disordered Systems and Neural Networks · Physics 2012-02-28 F. Corberi , E. Lippiello , A. Mukherjee , S. Puri , M. Zannetti

We consider the leading post-Newtonian and quantum corrections to the non-relativistic scattering amplitude of charged scalars in the combined theory of general relativity and scalar QED. The combined theory is treated as an effective field…

High Energy Physics - Theory · Physics 2009-11-07 N. E. J. Bjerrum-Bohr

Percolation, a paradigmatic geometric system in various branches of physical sciences, is known to possess logarithmic factors in its correlators. Starting from its definition, as the $Q\rightarrow1$ limit of the $Q$-state Potts model with…

Statistical Mechanics · Physics 2019-05-29 Xiaojun Tan , Romain Couvreur , Youjin Deng , Jesper Lykke Jacobsen

A simple formalism to describe flavor and CP violation in a model independent way is provided. Our method is particularly useful to derive robust bounds on models with arbitrary mechanisms of alignment. Known constraints on flavor violation…

High Energy Physics - Phenomenology · Physics 2010-10-08 Oram Gedalia , Lorenzo Mannelli , Gilad Perez

We study the $(q+1)$-state clock model on the simple cubic lattice by using Monte Carlo simulations. In addition to the nearest neighbor coupling we consider a next-to-next-to-nearest neighbor coupling. For a certain range of the…

Statistical Mechanics · Physics 2025-07-28 Martin Hasenbusch

Recent sign-problem-free quantum Monte Carlo simulations of (2+1)-dimensional lattice quantum electrodynamics (QED$_3$) with $N_f$ flavors of fermions on the square lattice have found evidence of continuous quantum phase transitions between…

Strongly Correlated Electrons · Physics 2021-04-01 Rufus Boyack , Joseph Maciejko

We study the scaling properties of the finite temperature QCD phase transition, for light quark masses ranging from the heavy quark regime to their physical values. The lattice results are obtained in the fixed scale approach from…

High Energy Physics - Lattice · Physics 2021-11-03 A. Yu. Kotov , M. P. Lombardo , A. Trunin

Numerical simulations of QCD-like theories which are chirally broken but exhibit a very small beta function reveal a flavor-singlet scalar, or "dilatonic meson," which is much lighter than any other states except pions. We develop a…

High Energy Physics - Phenomenology · Physics 2016-10-07 Maarten Golterman , Yigal Shamir

We present results of a Monte Carlo simulation of the three dimensional Thirring model with the number of fermion flavors N_f varied between 2 and 18. By identifying the lattice coupling at which the chiral condensate peaks, simulations are…

High Energy Physics - Lattice · Physics 2008-09-22 Stavros Christofi , Simon Hands , Costas Strouthos

We consider the logarithmic Schr{\"o}dinger equation in a semiclassical scaling, in the presence of a smooth, at most quadratic, external potential. For initial data under the form of a single coherent state, we identify the notion of…

Analysis of PDEs · Mathematics 2025-05-28 Rémi Carles , Fangyuan Dong