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Related papers: Mutually local fields from form factors

200 papers

We investigate the gravitational form factors of a strongly coupled scalar theory that mimic the interaction between the nucleon and the pion. The non-perturbative calculation is based on the light-front Hamiltonian formalism. We…

High Energy Physics - Phenomenology · Physics 2023-10-03 Xianghui Cao , Yang Li , James P. Vary

We propose explicit expressions for the form factors, including their normalization constants, of topologically charged (or soliton-creating) operators in the sine-Gordon model. The normalization constants, which constitute the main content…

High Energy Physics - Theory · Physics 2009-11-07 S. Lukyanov , A. Zamolodchikov

The most general solution to the form factor problem in the sinh-Gordon model is presented in an explicit way. The linearly independent classes of solutions correspond to powers of the elementary field. We show how the form factors of…

High Energy Physics - Theory · Physics 2009-10-30 M. Pillin

Interaction with external gravitational field is introduced into a nonlocal quark model using the equivalence principle. This allows to define the energy-momentum tensor in flat space and evaluate its hadronic matrix element with external…

High Energy Physics - Phenomenology · Physics 2025-07-09 Vladimir Voronin

We derive the recursive equations for the form factors of the local hermitian operators in the Bullough-Dodd model. At the self-dual point of the theory, the form factors of the fundamental field of the Bullough-Dodd model are equal to…

High Energy Physics - Theory · Physics 2009-10-22 A. Fring , G. Mussardo , P. Simonetti

The form factor provides a convenient way to describe properties of topological solitons in the full quantum theory, when semiclassical concepts are not applicable. It is demonstrated that the form factor can be calculated numerically using…

High Energy Physics - Lattice · Physics 2011-01-07 Arttu Rajantie , David J. Weir

Using the fermionic basis discovered in the 6-vertex model, we derive exact formulas for the expectation values of local operators of the sine-Gordon theory in any eigenstate of the Hamiltonian. We tested our formulas in the pure…

High Energy Physics - Theory · Physics 2019-09-19 Arpad Hegedus

We consider hamiltonian models representing an arbitrary number of spin $1/2$ fermion quantum fields interacting through arbitrary processes of creation or annihilation of particles. The fields may be massive or massless. The interaction…

Mathematical Physics · Physics 2020-01-08 Benjamin Alvarez , Jérémy Faupin , Jean-Claude Guillot

We compare form factors in sine-Gordon theory, obtained via the bootstrap, to finite volume matrix elements computed using the truncated conformal space approach. For breather form factors, this is essentially a straightforward application…

High Energy Physics - Theory · Physics 2011-08-09 G. Feher , G. Takacs

We present a mapping of elementary fermion operators onto a quadratic form of composite fermionic and bosonic operators. The mapping is an exact isomorphism as long as the physical constraint of one composite particle per cluster is…

Using some modification of the standard fermion technique we derive factorized formula for spin operator matrix elements (form-factors) between general eigenstates of the Hamiltonian of quantum Ising chain in a transverse field of finite…

Statistical Mechanics · Physics 2011-12-05 N. Iorgov , V. Shadura , Yu. Tykhyy

A general form factor formula for the scaling Z(N)-Ising model is constructed. Exact expressions for matrix elements are obtained for several local operators. In addition, the commutation rules for order, disorder parameters and para-Fermi…

High Energy Physics - Theory · Physics 2008-11-26 H. Babujian , A. Foerster , M. Karowski

The general SU(N) form factor formula is constructed. Exact form factors for the field, the energy momentum and the current operators are derived and compared with the 1/N-expansion of the chiral Gross-Neveu model and full agreement is…

High Energy Physics - Theory · Physics 2009-11-10 Hrachya Babujian , Angela Foerster , Michael Karowski

It is known that 2D field theories admit several sectors of mutually local fields so as two fields from different sectors are mutually nonlocal. We show that any one-partical integrable model with ${\bf Z}_2$ symmetry contains three…

High Energy Physics - Theory · Physics 2008-02-03 M. Yu. Lashkevich

We present a systematic technique for constructing the Lorentz-covariant structures of hadronic matrix elements of local operators. The spinor Young tableaux of the Lorentz group is employed to construct all possible structures for the…

High Energy Physics - Phenomenology · Physics 2026-04-29 Hao Sun , Tuo Tan , Jiang-Hao Yu

The form factor of hadronic systems in various forms of relativistic quantum mechanics is considered. Motivated by the agreement of the nucleon ``point-form'' results with experiment, results for a toy model corresponding to the simplest…

Nuclear Theory · Physics 2017-08-23 B. Desplanques

Integral formulae for form factors of a large family of charged local operators in SU(2) invariant Thirring model are given extending Smirnov's construction of form factors of chargeless local operators in the sine-Gordon model. New abelian…

Mathematical Physics · Physics 2007-05-23 Atsushi Nakayashiki , Yoshihiro Takeyama

We study the form factors of vector mesons using a covariant fermion field theory model in $(3+1)$ dimensions. Performing a light-front calculation in the $q^+ =0$ frame in parallel with a manifestly covariant calculation, we note the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Bernard L. G. Bakker , Ho-Meoyng Choi , Chueng-Ryong Ji

In this talk I discuss the form factor approach used to compute correlation functions of integrable models in two dimensions. The Sinh-Gordon model is our basic example. Using Watson's and the recursive equations satisfied by matrix…

High Energy Physics - Theory · Physics 2007-05-23 G. Mussardo

The free field representation for form factors in the sinh-Gordon model and the sine-Gordon model in the breather sector is modified to describe the form factors of descendant operators, which are obtained from the exponential ones,…

Mathematical Physics · Physics 2010-06-01 Boris Feigin , Michael Lashkevich