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We investigate the high-energy scattering in the spontaneously broken Yang - Mills gauge theory in 2+1 space--time dimensions and present the exact solution of the leading $\ln s$ BFKL equation. The solution is constructed in terms of…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Yu. Ivanov , R. Kirschner , E. M. Levin , L. N. Lipatov , L. Szymanowski , M. Wüsthoff

We use the gauge-gravity duality conjecture to compute spectral functions of the stress-energy tensor in finite temperature N=4 supersymmetric Yang-Mills theory in the limit of large Nc and large coupling. The spectral functions exhibit…

High Energy Physics - Theory · Physics 2009-11-11 Pavel Kovtun , Andrei Starinets

Using exact Bethe ansatz solution, we rigorously study excitation spectra of the spin-1/2 Fermi gas (called Yang-Gaudin model) with an attractive interaction. Elementary excitations of this model involve particle-hole excitations, hole…

Quantum Gases · Physics 2023-05-16 Jia-Feng Pan , Jia-Jia Luo , Xi-Wen Guan

We study in detail the analytic properties of the Thermodynamic Bethe Ansatz (TBA) equations for the anomalous dimensions of composite operators in the planar limit of the 3D N=6 superconformal Chern-Simons gauge theory and derive…

High Energy Physics - Theory · Physics 2015-06-16 Andrea Cavaglia' , Davide Fioravanti , Roberto Tateo

We study large N SU(N) Yang-Mills theory in three and four dimensions using a one-parameter family of supergravity models which originate from non-extremal rotating D-branes. We show explicitly that varying this "angular momentum" parameter…

High Energy Physics - Theory · Physics 2009-09-17 Csaba Csaki , Yaron Oz , Jorge Russo , John Terning

The property of gluon Reggeization plays an essential role in the derivation of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation for the cross sections at high energy $\sqrt s$ in perturbative QCD. This property has been proved to all…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alessandro Papa

We study the strong coupling limit of the Bethe ansatz solutions in the massive Thirring model. We find analytical expressions for the energy eigenvalues for the vacuum state as well as n-particle n- hole states. This formula is compared…

High Energy Physics - Theory · Physics 2016-09-06 T. Fujita , T. Kake , H. Takahashi

Although at temperatures $T\gg \Lambda_{QCD}$ the quark-gluon plasma (QGP) is a gas of weakly interacting quasiparticles (modulo long-range magnetism), it is strongly interacting in the regime $T=(1-3) T_c$. As both heavy ion experiments…

High Energy Physics - Phenomenology · Physics 2009-11-10 Edward V. Shuryak , Ismail Zahed

We study the deformed supersymmetric quantum mechanics with a polynomial superpotential with $\hbar$ correction. In the minimal chamber, where all turning points are real and distinct, it was shown that the exact Wentzel--Kramers--Brillouin…

High Energy Physics - Theory · Physics 2026-02-16 Katsushi Ito , Hongfei Shu , Jingjing Yang

We conjecture a new set of analytic relations for scattering amplitudes in planar N=4 super Yang-Mills theory. They generalise the Steinmann relations and are expressed in terms of the cluster algebras associated to Gr(4,n). In terms of the…

High Energy Physics - Theory · Physics 2018-04-25 James Drummond , Jack Foster , Omer Gurdogan

We provide a simple analytic formula for the two-loop six-point ratio function of planar N = 4 super Yang-Mills theory. This result extends the analytic knowledge of multi-loop six-point amplitudes beyond those with maximal helicity…

High Energy Physics - Theory · Physics 2015-06-03 Lance J. Dixon , James M. Drummond , Johannes M. Henn

We compute the six-particle maximally-helicity-violating (MHV) and next-to-MHV (NMHV) amplitudes in planar maximally supersymmetric Yang-Mills theory through seven loops and six loops, respectively, as an application of the extended…

High Energy Physics - Theory · Physics 2019-09-04 Simon Caron-Huot , Lance J. Dixon , Falko Dulat , Matt von Hippel , Andrew J. McLeod , Georgios Papathanasiou

We compute, in N=4 super Yang-Mills theory, the four point correlation function of R-currents in the Regge limit in the leading logarithmic approximation at weak coupling. Such a correlator is the closest analog to photon-photon scattering…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Bartels , A. -M. Mischler , M. Salvadore

Supersymmetry provides a well-established theoretical framework for extensions of the standard model of particle physics and the general understanding of quantum field theories. We summarise here our investigations of N=1 supersymmetric…

High Energy Physics - Lattice · Physics 2016-04-20 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte

Classical ${\cal N}=4$ Yang-Mills theory is defined by the superspace constraints. We obtain a solution of a subset of these constraints and show that it leads to the maximally helicity violating (MHV) amplitudes. The action which leads to…

High Energy Physics - Theory · Physics 2009-11-10 Yasuhiro Abe , V. P. Nair , Mu-In Park

The interest in the thermodynamics of supersymmetric Yang-Mills started after Maldacena proposed the duality between string theory on AdS backgrounds and the large-N limit of SYM theories. One of the motivations to study the thermal…

High Energy Physics - Theory · Physics 2022-03-07 Ubaid Tantary , Qianqian Du , Michael Strickland

Using the classical recursion relations we compute scattering amplitudes in a spontaneously broken Gauge-Higgs theory into final states involving high multiplicities of massive vector bosons and Higgs bosons. These amplitudes are computed…

High Energy Physics - Phenomenology · Physics 2015-06-23 Valentin V. Khoze

We present a calculation of the spectrum of light and heavy quark bound states in the rainbow-ladder truncation of Dyson-Schwinger/Bethe-Salpeter equations. By extending the formalism include the case of total angular momentum J=3, we are…

High Energy Physics - Phenomenology · Physics 2015-06-23 Stanislav Kubrak , Christian S Fischer , Richard Williams

On the basis of Bethe ansatz solution of bosons with delta-function interaction in a one-dimensional potential well, the thermodynamics equilibrium of the system in finite temperature is studied by using the strategy of Yang and Yang. The…

Condensed Matter · Physics 2015-06-24 Shi-Jian Gu , You-Quan Li , Zu-Jian Ying

We consider scattering processes involving N gluonic massless states of open superstrings with certain Regge slope alpha'. At the semi-classical level, the string world-sheet sweeps a disk and N gluons are created or annihilated at the…

High Energy Physics - Theory · Physics 2009-11-11 S. Stieberger , T. R. Taylor
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