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Related papers: On Factorizable S-matrices, Generalized TTbar, and…

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Starting from a recently-proposed general formula, various properties of the ADE series of purely elastic S-matrices are rederived in a universal way. In particular, the relationship between the pole structure and the bootstrap equations is…

High Energy Physics - Theory · Physics 2010-11-01 Patrick Dorey

A generalized vector particle theory with the use of an extended set of Lorentz group irredicible representations, including scalar, two 4-vectors, and antisymmetric 2-rang tensor, is investigated. Initial equations depend upon four complex…

High Energy Physics - Theory · Physics 2007-05-23 V. V. Kisel , N. G. Tokarevskaya , A. A. Bogush , V. M. Red'kov

We explicitly calculate the $AdS_2 \times S^2 \times T^6$ transfer-matrix eigenvalues in the massless sector using the exact integrable S-matrix, for up to 5 particles. This enables us to conjecture the general pattern. We use the…

High Energy Physics - Theory · Physics 2018-01-17 Alessandro Torrielli

We show that the QCD factorization approach for $B$-meson decays to charmless hadronic two-body final states can be extended to include electromagnetic corrections. The presence of electrically charged final-state particles complicates the…

High Energy Physics - Phenomenology · Physics 2020-12-02 Martin Beneke , Philipp Böer , Jan-Niklas Toelstede , K. Keri Vos

The finite-volume thermodynamics of a massive integrable QFT is described in terms of a grand canonical ensemble of loops immersed in a torus and interacting through scattering factors associated with their intersections. The path integral…

High Energy Physics - Theory · Physics 2023-04-07 Ivan Kostov

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…

High Energy Physics - Phenomenology · Physics 2026-03-23 Farrukh A. Chishtie

We consider a one-parameter family of composite fields -- bi-linear in the components of the stress-energy tensor -- which generalise the $\mathrm{T}\bar{\mathrm{T}}$ operator to arbitrary space-time dimension $d\geq 2$. We show that they…

High Energy Physics - Theory · Physics 2022-09-28 Riccardo Conti , Jacopo Romano , Roberto Tateo

The transition-matrix ($T$-matrix) approach provides a general formalism to study scattering problems in various areas of physics, including acoustics (scalar fields) and electromagnetics (vector fields), and is related to the theory of the…

Optics · Physics 2016-02-08 Eric C. Le Ru , Walter R. C. Somerville , Baptiste Auguié

Two implicit periodic structures in the solution of sinh-Gordon thermodynamic Bethe ansatz equation are considered. The analytic structure of the solution as a function of complex $\theta$ is studied to some extent both analytically and…

High Energy Physics - Theory · Physics 2015-06-25 Al. Zamolodchikov

We describe a new infinite family of multi-parameter functional equations for the Rogers dilogarithm, generalizing Abel's and Euler's formulas. They are suggested by the Thermodynamic Bethe Ansatz approach to the Renormalization Group flow…

High Energy Physics - Theory · Physics 2009-10-28 F. Gliozzi , R. Tateo

We review recent progresses in the study of factorized resonance scattering S-matrices. The resonance amplitudes are introduced through a suitable analytical continuation of the ADE Toda S-matrices. By using the thermodynamic Bethe ansatz…

High Energy Physics - Theory · Physics 2007-05-23 M. J. Martins

Our understanding of irrelevant perturbations of integrable quantum field theories has greatly expanded over the last decade. In particular, we know that, from a scattering theory viewpoint at least, their effect is realised as a…

High Energy Physics - Theory · Physics 2025-05-06 Olalla A. Castro-Alvaredo , Stefano Negro , Fabio Sailis

The Wilson Green's function approach and, alternatively, Feynman's diffusion equation and the Hori representation have been used to derive an exact functional RG equation (EFRGE) that in the course of the RG flow interpolates between the…

Statistical Mechanics · Physics 2023-01-12 V. I. Tokar

We initiate a study of subregion dualities, entropy, and redundant encoding of bulk points in holographic theories deformed by $T \bar T$ and its generalizations. This includes both cut off versions of Anti de Sitter spacetime, as well as…

High Energy Physics - Theory · Physics 2026-01-27 Aitor Lewkowycz , Junyu Liu , Eva Silverstein , Gonzalo Torroba

Beisert and Koroteev have recently found a bulk S-matrix corresponding to a q-deformation of the centrally-extended su(2|2) algebra of AdS/CFT. We formulate the associated Zamolodchikov-Faddeev algebra, using which we derive factorizable…

High Energy Physics - Theory · Physics 2009-12-04 Rajan Murgan , Rafael I. Nepomechie

We propose the factorizable S-matrices of the massive excitations of the non-unitary minimal model $M_{2,11}$ perturbed by the operator $\Phi_{1,4}$. The massive excitations and the whole set of two particle S-matrices of the theory is…

High Energy Physics - Theory · Physics 2009-10-22 F. Ravanini , R. Tateo , A. Valleriani

For studying the group theoretical classification of the solutions of the density functional theory in relativistic framework, we propose quantum electrodynamical density-matrix functional theory (QED-DMFT). QED-DMFT gives the energy as a…

Chemical Physics · Physics 2007-05-23 Tadafumi Ohsaku , Shusuke Yamanaka , Daisuke Yamaki , Kizashi Yamaguchi

A density functional theory (DFT) of lattice fermion models is presented, which uses the single-particle density matrix gamma_{ij} as basic variable. A simple, explicit approximation to the interaction-energy functional W[gamma] of the…

Strongly Correlated Electrons · Physics 2009-11-07 R. Lopez-Sandoval , G. M. Pastor

Non-perturbative limitations on low-energy effective field theories (EFTs) based on the characteristics of high-energy theory are provided by the analyticity of the flat-space version of the S-matrix. Although the analyticity of the…

High Energy Physics - Theory · Physics 2026-01-30 Sayantan Choudhury

A simple procedure to incorporate one-loop quantum electrodynamic (QED) corrections into the generalized (Gatchina) nonlocal shape-consistent relativistic pseudopotential model is described. The pseudopotentials for Lu, Tl, and Ra replacing…