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We determine the phase diagram and chiral condensate for lattice QCD with two flavors of twisted-mass fermions in the presence of nondegenerate up and down quarks, discretization errors and a nonzero value of $\Theta_{\rm QCD}$. Although…

高能物理 - 格点 · 物理学 2015-11-25 Derek P. Horkel , Stephen R. Sharpe

By generalizing the auxiliary field term in the Lagrangian of simplicial chiral models on a (d-1)-dimensional simplex, the generalized simplicial chiral models has been introduced in \c{Ali}. These models can be solved analytically only in…

高能物理 - 理论 · 物理学 2015-06-25 M. Alimohammadi , Kh. Saaidi

We present a lattice study of the equation of state in Yang-Mills theory based on the exceptional G(2) gauge group. As is well-known, at zero temperature this theory shares many qualitative features with real-world QCD, including the…

高能物理 - 格点 · 物理学 2015-03-16 Mattia Bruno , Michele Caselle , Marco Panero , Roberto Pellegrini

In this review, we consider the case where electrons, magnetic monopoles, and dyons become massless. Here we consider the ${\cal N} = 2$ supersymmetric Yang-Mills (SYM) theories with classical gauge groups with a rank r, SU(r+1), SO(2r),…

高能物理 - 理论 · 物理学 2013-07-11 Jihye Sofia Seo

Using an extended Lee-Yang theorem and GKS correlation inequalities, we prove, for a class of ferromagnetic multi-spin interactions, that they will have a phase transition(and spontaneous magnetization) if, and only if, the external field…

统计力学 · 物理学 2015-05-19 Joel L. Lebowitz , David Ruelle

The standard expectation is that gauge fixing cannot alter the physics in the physical sector of a Yang-Mills theory. Here we argue that this may not always be true: in an SU(2) Yang-Mills theory in which the $SU(2)/U(1)$ coset is…

高能物理 - 格点 · 物理学 2013-10-22 Maarten Golterman , Yigal Shamir

We consider 5d Yang-Mills theory with a compact ADE-type gauge group $G$ on ${\mathbb R}^{3,1}\times{\cal I}$, where $\cal I$ is an interval. The maximally supersymmetric extension of this model appears after compactification on $S^1$ of 6d…

高能物理 - 理论 · 物理学 2018-07-04 Tatiana A. Ivanova , Olaf Lechtenfeld , Alexander D. Popov

Electromagnetism can be generalized to Yang-Mills theory by replacing the group U(1)$ by a nonabelian Lie group. This raises the question of whether one can similarly generalize 2-form electromagnetism to a kind of "higher-dimensional…

高能物理 - 理论 · 物理学 2007-05-23 John C. Baez

We study the bosonic matrix model obtained as the high-temperature limit of two-dimensional maximally supersymmetric SU($N$) Yang-Mills theory. So far, no consensus about the order of the deconfinement transition in this theory has been…

高能物理 - 理论 · 物理学 2020-01-16 Georg Bergner , Norbert Bodendorfer , Masanori Hanada , Enrico Rinaldi , Andreas Schafer , Pavlos Vranas

Distinctive orderings and phase diagram structures are found, from renormalization-group theory, for odd q-state clock spin-glass models in d=3 dimensions. These models exhibit asymmetric phase diagrams, as is also the case for quantum…

统计力学 · 物理学 2015-03-04 Efe Ilker , A. Nihat Berker

Using the twisted partition function on R^3 x S^1, we argue that the deconfinement phase transition in pure Yang-Mills theory for all simple gauge groups is continuously connected to a quantum phase transition that can be studied in a…

高能物理 - 理论 · 物理学 2015-06-12 Erich Poppitz , Thomas Schaefer , Mithat Unsal

We find novel phase transitions and critical phenomena that occur only outside the linear-response regime of current-driven nonequilibrium states. We consider the strongly-interacting (3+1)-dimensional N=4 large-Nc SU(Nc) supersymmetric…

高能物理 - 理论 · 物理学 2015-06-04 Shin Nakamura

We consider Lie G-valued Yang-Mills fields on the space R x G/H, where G/H is a compact nearly K"ahler six-dimensional homogeneous space, and the manifold R x G/H carries a G_2-structure. After imposing a general G-invariance condition,…

高能物理 - 理论 · 物理学 2014-11-21 Irina Bauer , Tatiana A. Ivanova , Olaf Lechtenfeld , Felix Lubbe

Pure Yang-Mills theory on ${\mathbb R} \times S^2$ is analyzed in a gauge-invariant Hamiltonian formalism. Using a suitable coordinatization for the sphere and a gauge-invariant matrix parametrization for the gauge potentials, we develop…

高能物理 - 理论 · 物理学 2010-05-12 Abhishek Agarwal , V. P. Nair

A new point of view about the deep origin of thermodynamic phase transitions is sketched. The main idea is to link the appearance of phase transitions to some major topology change of suitable submanifolds of phase space instead of linking…

统计力学 · 物理学 2017-08-23 Marco Pettini , Roberto Franzosi , Lionel Spinelli

We consider how the Lee-Yang description of phase transitions in terms of partition function zeros applies to nonequilibrium systems. Here one does not have a partition function, instead we consider the zeros of a steady-state normalization…

统计力学 · 物理学 2009-11-07 R. A. Blythe , M. R. Evans

The complete phase diagram of objects in M-theory compactified on tori $T^p$, $p=1,2,3$, is elaborated. Phase transitions occur when the object localizes on cycle(s) (the Gregory-Laflamme transition), or when the area of the localized part…

高能物理 - 理论 · 物理学 2016-08-25 V. Sahakian , E. Martinec

The relation between thermodynamic phase transitions in classical systems and topology changes in their configuration space is discussed for a one-dimensional, analytically tractable solid-on-solid model. The topology of a certain family of…

统计力学 · 物理学 2007-05-23 Michael Kastner

Phase and modulus of an energy- and pressure-free, composite and adjoint field in an SU(2) Yang-Mills theory are computed. This field is generated by trivial holonomy calorons of topological charge one. It possesses nontrivial $S_1$-winding…

高能物理 - 理论 · 物理学 2007-05-23 Ulrich Herbst

The phase structure of the 3D SU(2)--Higgs model, the dimensionally reduced effective theory for the electroweak model at finite temperature, is analysed on the lattice using a variant of the linear $\de$--expansion. We develop a systematic…

高能物理 - 唯象学 · 物理学 2009-10-30 T. S. Evans , H. F. Jones , A. Ritz