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In this paper we introduce a unified approach to Toda field theories which allows us to formulate the classes of $A_n$, $B_n$ and $C_n$ models as unique models involving an arbitrary continuous parameter $\nu$. For certain values of $\nu $,…

高能物理 - 理论 · 物理学 2011-07-19 Lars Brink , Mikhail Vasiliev

We construct the general partial wave amplitude basis for the $N\to M$ scattering, which consists of Poincar\'e Clebsch-Gordan coefficients, with Lorentz invariant forms given in terms of spinor-helicity variables. The inner product of the…

高能物理 - 理论 · 物理学 2022-10-11 Jing Shu , Ming-Lei Xiao , Yu-Hui Zheng

We consider a neutral self-interacting massive scalar field defined in a d-dimensional Euclidean space. Assuming thermal equilibrium, we discuss the one-loop perturbative renormalization of this theory in the presence of rigid boundary…

高能物理 - 理论 · 物理学 2009-11-10 N. F. Svaiter

We introduce Scale Factorized-Quantum Field Theory (SF-QFT), a framework performing path-integral factorization of ultraviolet and infrared momentum modes at a physical scale $Q^*$ before perturbative expansion through Effective Dynamical…

高能物理 - 唯象学 · 物理学 2026-03-23 Farrukh A. Chishtie

The investigation of boundary breather states of the sinh-Gordon model restricted to a half-line is revisited. Properties of the classical boundary breathers for the two-parameter family of integrable boundary conditions are reviewed and…

高能物理 - 理论 · 物理学 2008-11-26 E. Corrigan , A. Taormina

Conformal field theories (CFTs) feature prominently in high-energy physics, statistical mechanics, and condensed matter. For example, CFTs govern emergent universal properties of systems tuned to quantum phase transitions, including their…

In the effective field theory (EFT) description of binary inspirals, the radiated gravitational waveform receives universal corrections from the curved background, the so-called ``tail effects'', that resum into the so-called ``Sommerfeld…

高能物理 - 理论 · 物理学 2026-05-04 Chih-Hao Chang , Chia-Hsien Shen , Zihan Zhou

Invariance under non-linear ${\sf {\hat W}}_{\infty}$ algebra is shown for the two-boson Liouville type of model and its algebraic generalizations, the extended conformal Toda models. The realization of the corresponding generators in terms…

高能物理 - 理论 · 物理学 2009-10-22 H. Aratyn , L. A. Ferreira , J. F. Gomes , A. H. Zimerman

Power corrections to exclusive processes are usually calculated using models for twist-four distribution amplitudes (DA) which are based on the leading-order terms in the conformal expansion. In this work we develop a different approach…

高能物理 - 唯象学 · 物理学 2010-04-05 Vladimir M. Braun , Einan Gardi , Stefan Gottwald

Aspects of parity-preserving, three-dimensional conformal field theories (CFTs) with a global $U(1)$ symmetry in the presence of a background magnetic field are investigated. A local effective action is constructed to four-derivative order,…

高能物理 - 理论 · 物理学 2025-05-21 Christopher P. Herzog , William H. Pannell , Biswajit Sahoo , Andreas Stergiou

This is a condensed write-up of a talk delivered at the Ramanujan International Symposium on Kac-Moody Lie algebras and Applications in Chennai in January 2002. The talk introduces special coideal subalgebras of quantum affine algebras…

量子代数 · 数学 2007-05-23 Gustav W Delius

The S matrix of e--e scattering has the structure of a projection operator that projects incoming separable product states onto entangled two-electron states. In this projection operator the empirical value of the fine-structure constant…

综合物理 · 物理学 2016-02-10 Walter Smilga

In this paper we introduce a class of generalized supersymmetric Toda field theories. The theories are labeled by a continuous parameter and have $N=2$ supersymmetry. They include previously known $N=2$ Toda theories as special cases. Using…

高能物理 - 理论 · 物理学 2016-09-06 Niclas Wyllard

We study different aspects of integrable boundary quantum field theories, focusing mostly on the ``boundary sine-Gordon model'' and its applications to condensed matter physics. The first part of the review deals with formal problems. We…

高能物理 - 理论 · 物理学 2007-05-23 Sergei Skorik

We reconsider the, by Brink and Vasiliev, recently proposed generalized Toda field theories using the framework of WZNW$\rightarrow$Toda reduction. The reduced theory has a gauge symmetry which can be fixed in various ways. We discuss some…

高能物理 - 理论 · 物理学 2015-06-26 Niclas Wyllard

We obtain exact results for correlation functions of primary operators in the two-dimensional conformal field theory of a scalar field interacting with a critical periodic boundary potential. Amplitudes involving arbitrary bulk discrete…

高能物理 - 理论 · 物理学 2009-11-10 Kristjan R. Kristjansson , Larus Thorlacius

We consider $N=1$ supersymmetric Toda theories which admit a fermionic untwisted affine extension, i.e. the systems based on the $A(n,n)$, $D(n+1,n)$ and $B(n,n)$ superalgebras. We construct the superspace Miura trasformations which allow…

高能物理 - 理论 · 物理学 2009-10-22 Alessandro Gualzetti , Silvia Penati , Daniela Zanon

The inversion theorem and convolution theorem of the conformable fractional Laplace transforms are developed. All the elementary properties of the classical Laplace transform are extended to the conformable fractional transform, and using…

动力系统 · 数学 2026-05-13 Somnath Sarate , Anil Khairnar , Krishnat Masalkar

We developed the theory of finite volume form factors in the presence of integrable defects. These finite volume form factors are expressed in terms of the infinite volume form factors and the finite volume density of states and incorporate…

高能物理 - 理论 · 物理学 2014-04-02 Z. Bajnok , F. Buccheri , L. Hollo , J. Konczer , G. Takacs

We construct a centerless W-infinity type of algebra in terms of a generator of a centerless Virasoro algebra and an abelian spin-1 current. This algebra conventionally emerges in the study of pseudo-differential operators on a circle or…

高能物理 - 理论 · 物理学 2009-10-22 H. Aratyn , L. A. Ferreira , J. F. Gomes , A. H. Zimerman