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A new symmetry of $(1,0)$ supersymmetric non-linear $\sigma$-models in two dimensions with Fermi and mass sectors is introduced. It is a generalisation of the so-called special holonomy $W$-symmetry of Howe and Papadopoulos associated with…

高能物理 - 理论 · 物理学 2019-09-18 Xenia de la Ossa , Marc-Antoine Fiset

We build a combinatorial invariant, called the spectral monodromy from the spectrum of a non-selfadjoint h -pseudodifferential operator with two degrees of freedom in the semi-classical limit. We treat small non-selfadjoint perturbation of…

数学物理 · 物理学 2014-08-05 Quang Sang Phan

We extend the results of hep-th/0310137 to show that a general classical action for D=2, N=2 sigma models on a non(anti)commutative superspace is not standard and contains infinite number of terms, which depend on the determinant of the…

高能物理 - 理论 · 物理学 2009-11-10 B. Chandrasekhar

We discuss available information about the instanton size distribution $d(\rho)$, which comes from lattice simulations and the interacting instanton liquid model. Not only they are remarkably consistent, but one can also reproduce $d(\rho)$…

高能物理 - 唯象学 · 物理学 2009-10-28 E. V. Shuryak

We study the dynamics of four dimensional gauge theories with adjoint fermions for all gauge groups, both in perturbation theory and non-perturbatively, by using circle compactification with periodic boundary conditions for the fermions.…

高能物理 - 理论 · 物理学 2015-06-05 Philip C. Argyres , Mithat Ünsal

We show that a number of multiple integrals may viewed as tau functions of various integrable hierarchies. The instanton contributions in the two-dimensional O(3)$\ \sigma $ model is an example of such an approach.

可精确求解与可积系统 · 物理学 2019-02-22 A. N. Antonov , A. Yu. Orlov

We show that the one-instanton sector moduli-space divergence of the O(3) Sigma Model leads to an unacceptable dependence of Green's functions on the arbitrary way that the field is split into a quantum fluctuation about a classical…

高能物理 - 理论 · 物理学 2007-05-23 Richard Costambeys , Paul Mansfield

We derive a local, gauge invariant action for the SU(N) non-linear sigma-model in 2+1 dimensions. In this setting, the model is defined in terms of a self-interacting pseudo vector-field \theta_\mu, with values in the Lie algebra of the…

高能物理 - 理论 · 物理学 2010-12-01 C. D. Fosco , C. P. Constantinidis

A general algorithm is presented for estimating the nonlinear instability threshold, $\sigma_c$, for subcritical transitions in systems where the linearized dynamics is significantly non-normal (i.e. subcritical bifurcations of {\em…

经典物理 · 物理学 2009-10-31 E. R. Tracy , X. Z. Tang

At HZB's BESSY II and PTB's Metrology Light Source (MLS) facilities we have the ability to tune the momentum compaction factor $\alpha$ up to second non-linear order. The non-linear dependence $\alpha(\delta)$ brings qualitative changes to…

加速器物理 · 物理学 2021-04-28 Jernej Frank , Tom Mertens , Markus Ries

This chapter presents some of the links between automata theory and symbolic dynamics. The emphasis is on two particular points. The first one is the interplay between some particular classes of automata, such as local automata and results…

形式语言与自动机理论 · 计算机科学 2011-02-08 Marie-Pierre Béal , Jean Berstel , Søren Eilers , Dominique Perrin

The operator product expansion is used to obtain model-independent predictions for the first two moments of the renormalized B-meson light-cone distribution amplitude phi_+(omega,mu), defined with a cutoff omega<Lambda_UV. The leading…

高能物理 - 唯象学 · 物理学 2009-11-11 Seung J. Lee , Matthias Neubert

This is a mini-review about generalized instantons of noncommutative gauge theories in dimensions 4, 6 and 8, with emphasis on their realizations in type II string theory, their geometric interpretations, and their applications to the…

高能物理 - 理论 · 物理学 2023-05-24 Richard J. Szabo , Michelangelo Tirelli

We investigate the influence of the momentum cutoff function on the field-dependent nonperturbative renormalization group flows for the three-dimensional Ising model, up to the second order of the derivative expansion. We show that, even…

高能物理 - 理论 · 物理学 2009-11-10 Léonie Canet

We discuss O(N) invariant scalar field theories in 0+1 and 1+1 space-time dimensions. Combining ordinary ``Large N" saddle point techniques and simple properties of the diagonal resolvent of one dimensional Schr\"odinger operators we find…

高能物理 - 理论 · 物理学 2009-10-28 Joshua Feinberg

This paper is devoted to the study of nonautonomous multivalued semiflows and their associated pullback attractors. For this kind of dynamical systems we are able to characterize the upper and lower bounds of the attractor as complete…

动力系统 · 数学 2024-07-04 José A. Langa , Jacson Simsen , Mariza Stefanello Simsen , José Valero

We consider massless Majorana fermion systems with $G=\mathbb{Z}_N$, $SO(N)$, and $O(N)$ symmetry in one-dimensional spacetime. In these theories, phase ambiguities of the partition functions are given as the exponential of the…

高能物理 - 理论 · 物理学 2021-12-01 Saki Koizumi

We construct a five-parameter family of gauge-nonequivalent SU(2) instantons on a noncommutative four sphere $S_\theta^4$ and of topological charge equal to -1. These instantons are critical points of a gauge functional and satisfy…

量子代数 · 数学 2008-11-26 Giovanni Landi , Walter D. van Suijlekom

Hellerman et al. (arXiv:1505.01537) have shown that in a generic CFT the spectrum of operators carrying a large U(1) charge can be analyzed semiclassically in an expansion in inverse powers of the charge. The key is the operator state…

高能物理 - 理论 · 物理学 2017-06-28 Alexander Monin , David Pirtskhalava , Riccardo Rattazzi , Fiona K. Seibold

The stationary and highly non-stationary resonant dynamics of the harmonically forced pendulum are described in the framework of a semi-inverse procedure combined with the Limiting Phase Trajectory concept. This procedure, implying only…

混沌动力学 · 物理学 2016-04-25 Leonid I. Manevitch , Valeri V. Smirnov , Francesco Romeo