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A simple picture for the spectrum of the one-dimensional Hubbard model is presented using a classification of the eigenstates based on an intuitive bound-state Bethe-Ansatz approach. This approach allows us to prove a "string hypothesis"…

Strongly Correlated Electrons · Physics 2009-10-31 D. Braak , N. Andrei

We study dynamics of the one-dimensional Ising model in the presence of static symmetry-breaking boundary field via the two-time autocorrelation function of the boundary spin. We find that the correlations decay as a power law. We uncover a…

Statistical Mechanics · Physics 2024-01-02 Umar Javed , Jamir Marino , Vadim Oganesyan , Michael Kolodrubetz

We present a novel lattice calculation of the equation of state of SU(2) Yang-Mills theory in the confining phase. We show that a gas of massive, non-interacting glueballs describes remarkably well the results, provided that a bosonic…

High Energy Physics - Lattice · Physics 2016-07-20 Michele Caselle , Alessandro Nada , Marco Panero

We provide results for the spectrum of scalar and pseudoscalar glueballs in pure Yang-Mills theory using a parameter-free fully self-contained truncation of Dyson-Schwinger and Bethe-Salpeter equations. The only input, the scale, is fixed…

High Energy Physics - Phenomenology · Physics 2020-11-25 Markus Q. Huber , Christian S. Fischer , Hèlios Sanchis-Alepuz

Gauge theories on manifolds with spatial boundaries are studied. It is shown that observables localized at the boundaries (edge observables) can occur in such models irrespective of the dimensionality of spacetime. The intimate connection…

High Energy Physics - Theory · Physics 2009-10-28 A. P. Balachandran , L. Chandar , E. Ercolessi

The quenched spectrum of glueballs with positive charge parity is calculated from two-body bound state equations. As input, a self-contained solution for the primitively divergent correlation functions from Dyson-Schwinger equations is…

High Energy Physics - Phenomenology · Physics 2023-12-20 Markus Q. Huber , Christian S. Fischer , Hèlios Sanchis-Alepuz

We consider (1+1)-dimensional QCD coupled to scalars in the adjoint representation of the gauge group SU($N$). This model results from dimensional reduction of the (2+1)-dimensional pure glue theory. In the large-N limit we study the…

High Energy Physics - Theory · Physics 2009-10-22 Krešimir Demeterfi , Igor R. Klebanov , Gyan Bhanot

We give an overview of results for the quenched glueball spectrum from two-body bound state equations based on the 3PI effective action. The setup, which uses self-consistently calculated two- and three-point functions as input, is…

High Energy Physics - Phenomenology · Physics 2022-02-16 Markus Q. Huber , Christian S. Fischer , Hèlios Sanchis-Alepuz

Here we study two important properties of $2+1$ dimensional QCD -- confinement and pseudoscalar glueball spectrum -- with holographic approach. We consider the low energy decoupled geometry of the isotropic non-susy D$2$ brane. We find the…

High Energy Physics - Theory · Physics 2021-03-10 Adrita Chakraborty , Kuntal Nayek

We address the issue of glueball masses in a holographic dual field theory on the boundary of an AdS space deformed by a four-dimensional cosmological constant. These glueballs are related to scalar and tensorial fluctuations of the bulk…

High Energy Physics - Theory · Physics 2010-12-30 L. Barosi , F. A. Brito , H. S. Jesuino , A. R. Queiroz

We consider the mass spectrum of the 3$d$ 3-state Potts model in the broken phase (a) near the second order Ising critical point in the temperature - magnetic field plane and (b) near the weakly first order transition point at zero magnetic…

High Energy Physics - Lattice · Physics 2008-11-26 Rossella Falcone , Roberto Fiore , Mario Gravina , Alessandro Papa

In the ordered phase of the 3D Ising model, minority spin clusters are surrounded by a boundary of dual plaquettes. As the temperature is raised, these spin clusters become more numerous, and it is found that eventually their boundaries…

Statistical Mechanics · Physics 2023-05-03 Michael Grady

Building on earlier results on holographic bulk dynamics in confining gauge theories, we compute the spin-0 and spin-2 spectra of gauge theories dual to the non-singular Maldacena-Nunez and Klebanov-Strassler supergravity backgrounds. We…

High Energy Physics - Theory · Physics 2008-11-26 Marcus Berg , Michael Haack , Wolfgang Muck

We set up a numerical S-matrix bootstrap problem to rigorously constrain bound state couplings given by the residues of poles in elastic amplitudes. We extract upper bounds on these couplings that follow purely from unitarity, crossing…

High Energy Physics - Theory · Physics 2023-12-04 Andrea L. Guerrieri , Aditya Hebbar , Balt C. van Rees

Both positive and negative charge conjugation glueball spectra are computed with a constituent gluon approach. We first compute the spectrum of the Hamiltionian describing two-gluon bound states having $C=+$, before tackling the three-gluon…

High Energy Physics - Phenomenology · Physics 2025-03-20 Cyrille Chevalier , Vincent Mathieu

We scrutinize the determination of glueball masses in pure Yang-Mills theory from functional equations, i.e. Dyson-Schwinger and Bethe-Salpeter equations. We survey the state-of-the-art input (dressed propagators and vertices) with an…

High Energy Physics - Phenomenology · Physics 2025-03-07 Markus Q. Huber , Christian S. Fischer , Hèlios Sanchis-Alepuz

We study the mass spectrum of spin-0 and spin-2 composite states in a one-parameter family of three-dimensional field theories by making use of their dual descriptions in terms of supergravity. These theories exhibit a mass gap despite…

High Energy Physics - Theory · Physics 2019-06-26 Daniel Elander , Anton F. Faedo , David Mateos , David Pravos , Javier G. Subils

Phases analogous to supersolids can be realized in spin systems. Here we obtain the phase diagram of a frustrated dimer spin-1/2 system on a square lattice and study the collective excitation spectra, focusing on the supersolid state (SS).…

Strongly Correlated Electrons · Physics 2015-03-27 Yuta Murakami , Takashi Oka , Hideo Aoki

Recent lattice results strongly support the Axionic String Ansatz (ASA) for quantum numbers of glueballs in 3D Yang-Mills theory. The ASA treats glueballs as closed bosonic strings. The corresponding worldsheet theory is a deformation of…

High Energy Physics - Theory · Physics 2023-04-13 Sergei Dubovsky , Guzmán Hernández-Chifflet , Shahrzad Zare

We formulate a framework to determine the mass of glueball states of Landau gauge Yang-Mills theory in the continuum. To this end we derive a Bethe-Salpeter equation for two gluon bound states including the effects of Faddeev-Popov ghosts.…

High Energy Physics - Phenomenology · Physics 2015-03-23 Helios Sanchis-Alepuz , Christian S. Fischer , Christian Kellermann , Lorenz von Smekal