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The phase transition in the mean-field XY model is shown analytically to be related to a topological change in its configuration space. Such a topology change is completely described by means of Morse theory allowing a computation of the…

统计力学 · 物理学 2007-05-23 Lapo Casetti , E. G. D. Cohen , Marco Pettini

At high temperatures a four dimensional field theory is reduced to a three dimensional field theory. In this letter we consider the $\phi^4$ theory whose parameters are chosen so that a thermal phase transition occurs at a high temperature.…

高能物理 - 唯象学 · 物理学 2015-06-25 Hidenori Sonoda

We calculate the $\theta$ dependence in a cousin of QCD, where the vacuum structure can be analyzed exactly. The theory is $\mathcal{N}=2$ $SU(2)$ gauge theory with $N_F=0,1,2,3$ flavors of fundamentals, explicitly broken to $\mathcal{N}=1$…

高能物理 - 理论 · 物理学 2025-07-18 Csaba Csáki , Teruhiko Kawano , Hitoshi Murayama , Ofri Telem

Phase transitions between two competing vacua of a given theory are quite common in physics. We discuss how to construct the space-time solutions that allow the description of phase transitions between different branches (or asymptotics) of…

广义相对论与量子宇宙学 · 物理学 2015-08-26 Xian O. Camanho

The theta dependent of pure gauge theories in four dimensions can be studied using a duality of large N gauge theories with string theory on a certain spacetime. Via this duality, one can argue that for every theta, there are infinitely…

高能物理 - 理论 · 物理学 2010-04-07 Edward Witten

We consider D=6, N=1, Z_M orbifold compactifications of heterotic strings in which the usual modular invariance constraints are violated. It is argued that in the presence of non-perturbative effects many of these vacua are nevertheless…

高能物理 - 理论 · 物理学 2016-09-06 G. Aldazabal , A. Font , L. E. Ibanez , A. M. Uranga , G. Violero

All the models of elementary particles and their interactions derived from String Theory involve a compact six-dimensional internal space. Its volume and shape should be fixed or stabilized, since otherwise massless scalar fields (moduli)…

高能物理 - 理论 · 物理学 2015-06-23 Noriaki Kitazawa

We consider, in a string theory framework, physical processes of phenomenological interest in models with a low string scale. The amplitudes we study involve tree-level virtual gravitational exchange, divergent in a field-theoretical…

高能物理 - 理论 · 物理学 2011-07-19 E. Dudas , J. Mourad

We show that the phase transition previously observed in dynamical triangulation models of quantum gravity can be understood as being due to the creation of a singular link. The transition between singular and non-singular geometries as the…

高能物理 - 格点 · 物理学 2009-10-30 S. Catterall , R. Renken , J. Kogut

The past year has seen enormous progress in string theory. It has become clear that all of the different string theories are different limits of a single theory. Moreover, in certain limits, one obtains a new, eleven-dimensional structure…

高能物理 - 理论 · 物理学 2007-05-23 Michael Dine

String theory is the prime candidate for the theory of everything. However, it must be defined in ten dimensions to be consistent. To get 4D physics, the 6 other dimensions should be curled up in a small compact manifold, this procedure is…

高能物理 - 理论 · 物理学 2022-11-02 Poula Tadros , Iiro Vilja

We argue that in the context of string theory a large number N of connected degenerate vacua that mix will lead to a ground state with much lower energy, essentially because of the standard level repulsion of quantum theory for the…

高能物理 - 理论 · 物理学 2007-05-23 G. L. Kane , M. J. Perry , A. N. Zytkow

After a short introduction to Matrix theory, we explain how can one generalize matrix models to describe toroidal compactifications of M-theory and the heterotic vacua with 16 supercharges. This allows us, for the first time in history, to…

高能物理 - 理论 · 物理学 2007-05-23 Lubos Motl

We study the Type 0A string theory in the (2,4k) superconformal minimal model backgrounds, focusing on the fully non-perturbative string equations which define the partition function of the model. The equations admit a parameter, Gamma,…

高能物理 - 理论 · 物理学 2008-11-26 James E. Carlisle , Clifford V. Johnson , Jeffrey S. Pennington

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 brane realizations of chiral matter in N=1 supersymmetric gauge theories in four dimensions. A "cross" configuration which leads to "flavor doubling" is found to have a superpotential. The main example is realized using a special…

高能物理 - 理论 · 物理学 2008-11-26 Ilka Brunner , Amihay Hanany , Andreas Karch , Dieter Lust

I review dynamical chiral symmetry breaking in four-fermi models, including results of Monte Carlo simulations with dynamical fermions. For 2<d<4, where the phase transition defines an ultraviolet fixed point of the renormalisation group,…

高能物理 - 格点 · 物理学 2007-05-23 Simon Hands

This review article provides a pedagogical introduction into various classes of chiral string compactifications to four dimensions with D-branes and fluxes. The main concern is to provide all necessary technical tools to explicitly…

高能物理 - 理论 · 物理学 2008-11-26 Ralph Blumenhagen , Boris Kors , Dieter Lust , Stephan Stieberger

We describe phase transitions in the heavy quark potential in planar gauge theories having wrapped D5-brane string duals. A new phase transition, previously unnoticed in these models, is driven by the source of a large dimension operator.…

高能物理 - 理论 · 物理学 2009-10-06 F. Bigazzi , A. L. Cotrone , A. Paredes

We argue that a generic instability afflicts vacua that arise in theories whose moduli space has large dimension. Specifically, by studying theories with multiple scalar fields we provide numerical evidence that for a generic local minimum…

高能物理 - 理论 · 物理学 2013-08-09 Brian Greene , David Kagan , Ali Masoumi , Dhagash Mehta , Erick J. Weinberg , Xiao Xiao