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We examine the role of instantons in the zero-temperature chiral phase transition in an SU(N) gauge theory. For a range of N_f (the number of fermion flavors) depending on N, the theory exhibits an infrared fixed point at coupling…

High Energy Physics - Phenomenology · Physics 2009-10-30 Thomas Appelquist , Stephen B. Selipsky

We perform a lattice study of the topological susceptibility and instanton size distribution of the $\su{2}$ gauge theory with two adjoint Dirac fermions (also known as Minimal Walking Technicolor), which is known to be in the conformal…

High Energy Physics - Lattice · Physics 2013-05-13 Ed Bennett , Biagio Lucini

Instanton contributions in 2d string theory are known to include subtle numerical factors $\zeta_n$ closely related to a contour prescription in multi-instanton string amplitudes. Both ingredients appear to be ambiguous due to a degeneracy…

High Energy Physics - Theory · Physics 2026-01-22 Sergei Alexandrov , Rishabh Kaushik

Instantons are tunneling solutions that connect two vacua, and under a small change in the potential, instantons sometimes disappear. We classify these disappearances as smooth (decay rate goes to 0 at disappearance) or abrupt (decay rate…

High Energy Physics - Theory · Physics 2013-05-29 Adam R. Brown , Alex Dahlen

A recent calculation by Chay and Rey has shown that instantons may make a significant contribution to the lepton energy spectrum near its endpoint. Using an ansatz borrowed from the study of high energy baryon number violating processes, we…

High Energy Physics - Phenomenology · Physics 2010-11-01 Adam F. Falk , Alexander Kyatkin

Noncompact SO(1,N) sigma-models are studied in terms of their large N expansion in a lattice formulation in dimensions d \geq 2. Explicit results for the spin and current two-point functions as well as for the Binder cumulant are presented…

High Energy Physics - Theory · Physics 2008-11-26 A. Duncan , M. Niedermaier , P. Weisz

By use of single instanton approximation the twist-3 light-cone distribution amplitudes of pion as well as the p-wave mesons, i.e., $f_{0}(1370)$, $K_{0}^{\ast}(1430)$ and $a_{0}(1450)$ are investigated within the framework of QCD moment…

High Energy Physics - Phenomenology · Physics 2011-06-02 Jin Zhang , Zhu-feng Zhang , Hong-ying Jin

We investigate nonperturbative infrared effects for the O(N) linear sigma model in de Sitter space using the two-particle irreducible effective action at the Hartree truncation level. This approximation resums the infinite series of…

High Energy Physics - Theory · Physics 2013-09-23 Takashi Arai

We study the non-commutative instanton solution proposed in hep-th/0009142 and obtain the spectrum of small oscillations. The spectrum thus obtained is in exact agreement with the spectrum of stringy excitations in a configuration of point…

High Energy Physics - Theory · Physics 2007-05-23 Mukund Rangamani

We propose the approach for a lattice investigation of light-cone distribution amplitudes (LCDA) of heavy-light mesons, such as the $B$-meson, using the formalism of parton pseudo-distributions. A basic ingredient of the approach is the…

High Energy Physics - Phenomenology · Physics 2021-03-23 Shuai Zhao , Anatoly V. Radyushkin

We perform a detailed study of the existence and the properties of O(4)-invariant instanton solutions in Einstein-scalar theory in the presence of flat potential barriers, i.e. barriers where the second derivative of the potential is small…

High Energy Physics - Theory · Physics 2013-11-19 Lorenzo Battarra , George Lavrelashvili , Jean-Luc Lehners

We apply the recently introduced distribution of sign-times (DST) to non-equilibrium interface growth dynamics. We are able to treat within a unified picture the persistence properties of a large class of relaxational and noisy linear…

Statistical Mechanics · Physics 2009-10-31 Z. Toroczkai , T. J. Newman , S. Das Sarma

The average scattered intensity is determined by the optical characteristics of particles in dispersion. The normalized time auto-correlation function of the scattered light intensity $g^{(2)}(\tau) $ includes both the optical and…

Chemical Physics · Physics 2007-05-23 Yong Sun

We analyze the vector multiplet prepotential of d=4, N=2 type IIA compactifications. We find that the worldsheet instanton corrections have a natural interpretation as one-loop corrections in five dimensions, with the extra dimension being…

High Energy Physics - Theory · Physics 2009-10-30 Albion Lawrence , Nikita Nekrasov

In the standard formulation of the occupancy problem one considers the distribution of r balls in n cells, with each ball assigned independently to a given cell with probability 1/n. Although closed form expressions can be given for the…

Probability · Mathematics 2007-05-23 Paul Dupuis , Carl Nuzman , Phil Whiting

We compute the instanton partition function for ${\cal N}=4$ U(N) gauge theories living on toric varieties, mainly of type $\R^4/\Gamma_{p,q}$ including $A_{p-1}$ or $O_{\PP_1}(-p)$ surfaces. The results provide microscopic formulas for the…

High Energy Physics - Theory · Physics 2009-11-11 Francesco Fucito , Jose F. Morales , Rubik Poghossian

We study the topological content of the vacuum of SU(2) pure gauge theory using lattice simulations. We use a smoothing process based on the renormalization group equation which removes short distance fluctuations but preserves long…

High Energy Physics - Lattice · Physics 2011-05-05 Thomas DeGrand , Anna Hasenfratz , Tamas G. Kovacs

Using lattice simulations, we study the extent of the conformal window for an $\text{SU}(3)$ gauge theory with $N_f$ Dirac fermions in the fundamental representation. We present evidence that the infrared behavior is conformal for $12 \leq…

High Energy Physics - Phenomenology · Physics 2009-12-15 Thomas Appelquist , George T. Fleming , Ethan T. Neil

We investigate the relation between dilatation and conformal symmetries in the statistical mechanics of flexible crystalline membranes. We analyze, in particular, a well-known model which describes the fluctuations of a continuum elastic…

Statistical Mechanics · Physics 2021-07-12 Achille Mauri , Mikhail I. Katsnelson

The superconformal index for N=2 5d theories contains a non-perturbative part arising from 5d instantonic operators which coincides with the Nekrasov instanton partition function. In this note, for pure gauge theories, we elaborate on the…

High Energy Physics - Theory · Physics 2015-06-16 Diego Rodriguez-Gomez , Gabi Zafrir