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We formulate a new concept of asymptotic completeness for two-dimensional massless quantum field theories in the spirit of the theory of particle weights. We show that this concept is more general than the standard particle interpretation…

Mathematical Physics · Physics 2013-09-04 Wojciech Dybalski , Yoh Tanimoto

We show that Wigner's infinite spin particle classically is described by a reparametrization invariant higher order geometrical Lagrangian. The model exhibit unconventional features like tachyonic behaviour and momenta proportional to…

High Energy Physics - Theory · Physics 2009-11-11 Ludde Edgren , Robert Marnelius , Per Salomonson

I review recent results on conformal field theories in four dimensions and quantum field theories interpolating between conformal fixed points, supersymmetric and non-supersymmetric. The talk is structured in three parts: i) central…

High Energy Physics - Theory · Physics 2007-05-23 D. Anselmi

Based upon the formalism of conformal field theory with a boundary, we give a description of the boundary effect on fully developed two dimensional turbulence. Exact one and two point velocity correlation functions and energy power spectrum…

High Energy Physics - Theory · Physics 2010-02-05 B. K. Chung , Soonkeon Nam , Q-Han Park , H. J. Shin

We review various aspects of two dimensional conformal field theories paying close attention to the algebraic structures that intervene. We provide a compact description regarding the appearance of a chiral algebra as the symmetry algebra…

High Energy Physics - Theory · Physics 2021-10-29 Joaquin Liniado

We study 1+1-dimensional theories of vector and hypermultiplets with (4,4) supersymmetry. Despite strong infrared fluctuations, these theories flow in general to distinct conformal field theories on the Coulomb and Higgs branches. In some…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

We present a classical conformal field theory on an arbitrary two-dimensional spacetime background. The dynamical object is a space-filling string, and the evolution may be thought as occurring on the manifold of the conformal group. The…

High Energy Physics - Theory · Physics 2016-01-12 Claudio Bunster , Alfredo Perez

We find the Noether point symmetries for non-relativistic two-dimensional charged particle motion. These symmetries are composed of a quasi-invariance transformation, a time-dependent rotation and a time-dependent spatial translation. The…

Mathematical Physics · Physics 2009-11-07 F. Haas , J. Goedert

With the present trend in experimental particle physics of probing yet shorter distances and with the requirement on the theoretical side of renormalizability, conformal invariance becomes an attractive symmetry for particle interactions.…

High Energy Physics - Theory · Physics 2022-08-29 A. D. Alhaidari

A general two-dimensional fractional supersymmetric conformal field theory is investigated. The structure of the symmetries of the theory is studied. Applying the generators of the closed subalgebra generated by…

High Energy Physics - Theory · Physics 2009-01-07 Fardin Kheirandish , Mohammad Khorrami

A general two dimensional fractional supersymmetric conformal field theory is investigated. The structure of the symmetries of the theory is studied. Then, applying the generators of the closed subalgebra generated by $(L_{-1}, L_{0},…

High Energy Physics - Theory · Physics 2009-10-31 Fardin Kheirandish , Mohammad Khorrami

A non-perturbative and exactly solvable quantum field theoretical model for a "dressed Dirac field" is presented, that exhibits all the kinematical features of QED: an appropriate delocalization of the charged field as a prerequisite for…

High Energy Physics - Theory · Physics 2022-04-19 Jens Mund , Karl-Henning Rehren , Bert Schroer

The paper is devoted to the symmetry aspects of 2D nonlocal field theory, which is the simplest deformation of the conformally invariant quantum field theory with one free bosonic field. The inverse problem of representation theory is…

q-alg · Mathematics 2007-05-23 D. V. Juriev

The vacuum sector of the Brans-Dicke theory is studied from the viewpoint of a non-conformally invariant gravitational model. We show that, this theory can be conformally symmetrized using an appropriate conformal transformation. The…

High Energy Physics - Theory · Physics 2009-10-31 Hossein Motavali , Hadi Salehi , Mehdi Golshani

A four-vector field in flat space-time, satisfying a gauge-invariant set of second-order differential equations, is considered as a unified field. The model variational principle corresponds to the general covariance idea and gives rise to…

High Energy Physics - Theory · Physics 2008-11-26 Alexander A. Chernitskii

Moving detectors in relativistic quantum field theories reveal the fundamental entangled structure of the vacuum which manifests, for instance, through its thermal character when probed by a uniformly accelerated detector. In this paper, we…

Quantum Physics · Physics 2019-08-21 Benjamin Roussel , Alexandre Feller

We find the Lie point symmetries for non-relativistic two-dimensional charged particle motion. These symmetries comprise a quasi-invariance transformation, a time-dependent rotation, a time-dependent spatial translation and a dilation. The…

Mathematical Physics · Physics 2009-11-07 F. Haas , J. Goedert

Two-dimensional conformal field theory (CFT) has several sources: the search for simple examples of quantum field theory, the description of surface critical phenomena, the study of (super)string vacua. In the present overview of the…

Mathematical Physics · Physics 2014-11-18 I. T. Todorov

The two-dimensional case occupies a special position in the theory of critical phenomena due to the exact results provided by lattice solutions and, directly in the continuum, by the infinite-dimensional character of the conformal algebra.…

Statistical Mechanics · Physics 2021-04-01 Gesualdo Delfino

It is shown that the effective theory of D-particles has conformal symmetry with field-dependent parameters. This is a consequence of the supersymmetry. The string coupling constant is not transformed in contrast with the recent proposal of…

High Energy Physics - Theory · Physics 2009-10-31 Kiyoshi Hayasaka , Ryuichi Nakayama
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