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The possibility of imposing partially twisted boundary conditions in the lattice study of the resonance states is investigated by using the effective field theory (EFT) methods. In particular, it is demonstrated that - in certain cases - it…

High Energy Physics - Lattice · Physics 2013-11-14 Dimitri Agadjanov , Ulf-G. Meißner , Akaki Rusetsky

The signature of bound state formation on the lattice is of particular interest in this talk. In the finite volume, where all states have discrete energies, it is rather hard to distinguish between a bound state and a scattering state if…

High Energy Physics - Lattice · Physics 2016-09-01 Shoichi Sasaki , Takeshi Yamazaki

The well-known Cahn-Hilliard equation entails mass conservation if a suitable boundary condition is prescribed. In the case when the equation is also coupled with a dynamic boundary condition, including the Laplace-Beltrami operator on the…

Analysis of PDEs · Mathematics 2014-12-08 Pierluigi Colli , Takeshi Fukao

Scale invariant theories which contain (in $4-D$) a four index field strength are considered. The integration of the equations of motion of these $4-index$ field strength gives rise to scale symmetry breaking. The phenomena of mass…

High Energy Physics - Theory · Physics 2017-08-23 P. Gaete , E. Guendelman

We consider a bound state problem for a family of supersymmetric gauge theories with fundamental matter. These theories can be obtained by a dimensional reduction of supersymmetric QCD from three dimensions to 1+1 and subsequent truncation…

High Energy Physics - Theory · Physics 2009-10-31 Oleg Lunin , Stephen Pinsky

The single-site dynamical mean field theory approximation to the double exchange model is found to exhibit a previously unnoticed instability, in which a well-defined ground state which is stable against small perturbations is found to be…

Strongly Correlated Electrons · Physics 2009-11-11 chungwei Lin , Andrew. J. Millis

A topological insulator and its spin analogue as a gapped spin liquid have characteristic low energy excitations (edge states) within the gap when the systems have boundaries. This is the bulk-edge correspondence, which implies that the…

Strongly Correlated Electrons · Physics 2009-05-12 Mitsuhiro Arikawa , Shou Tanaya , Isao Maruyama , Yasuhiro Hatsugai

We consider multiple scalar fields coupled to gravity, with special attention given to two-field theories. First, the conditions necessary for these theories to meet solar system tests are given. Next, we investigate the cosmological…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Andrew L. Berkin , Ronald W. Hellings

We investigate the propagation of a massless scalar field on a star graph, modeling the junction of $n$ quantum wires. The vertex of the graph is represented by a point-like impurity (defect), characterized by a one-body scattering matrix.…

High Energy Physics - Theory · Physics 2011-04-07 B. Bellazzini , M. Mintchev , P. Sorba

Boundary critical phenomena are studied in the 3- State Potts model in 2 dimensions using conformal field theory, duality and renormalization group methods. A presumably complete set of boundary conditions is obtained using both fusion and…

Condensed Matter · Physics 2009-10-31 Ian Affleck , Masaki Oshikawa , Hubert Saleur

We derive two rigorous constraints on the spectrum of massive states in weakly coupled theories with massless scalars in the adjoint representation of a large-$N$ gauge group. First, we show that the presence of massive spinning states…

High Energy Physics - Theory · Physics 2024-10-04 Justin Berman

We show that, contrary to recent criticism, our previous work yields a reasonable class of solutions for the massless scalar field in the presence of signature change.

General Relativity and Quantum Cosmology · Physics 2016-08-31 Tevian Dray , Corinne A. Manogue , Robin W. Tucker

We initiate the study of bound state scattering in AdS space at the level of Witten diagrams. For concreteness, we focus on the case with only scalar fields and analyze several basic diagrams which more general diagrams reduce to. We obtain…

High Energy Physics - Theory · Physics 2022-08-24 Wen-Jie Ma , Xinan Zhou

We give upper and lower bounds for the ground-state energy of the infinite-U Hubbard model. In two dimensions, using these bounds we are able to rule out the possibility of phase separation between the undoped-insulating state and an…

Strongly Correlated Electrons · Physics 2009-10-31 Federico Becca , Luca Capriotti , Sandro Sorella , Alberto Parola

In a recent paper [Phys. Rev. A 82, 063623 (2010)] Hallwood et al. argued that it is feasible to create large superposition states with strongly interacting bosons in rotating rings. Here we investigate in detail how the superposition…

Quantum Gases · Physics 2011-11-09 Andreas Nunnenkamp , Ana Maria Rey , Keith Burnett

We calculate the ground state current densities for 2+1 dimensional free fermion theories with local, translationally invariant boundary states. Deformations of the bulk wave functions close to the edge and boundary states both may cause…

Mathematical Physics · Physics 2017-05-24 Marianne Leitner , Werner Nahm

Exotic states have been predicted before and after the advent of QCD. In the last decades they have been observed at accelerator experiments in the sector with two heavy quarks, at or above the quarkonium strong decay threshold and called X…

High Energy Physics - Lattice · Physics 2021-11-23 Nora Brambilla

We study the scalar bound states of $D^{\ast}\bar{D}^{\ast}$ and $B^{\ast}\bar{B}^{\ast}$ in the Bethe-Salpeter formalism, with the effective interaction kernel extracted from the chiral perturbative theory and the heavy quark effective…

High Energy Physics - Phenomenology · Physics 2022-02-09 Rui-Cheng Li

We use the worldline representation of field theory together with a variational approximation to determine the lowest bound state in the scalar Wick-Cutkosky model where two equal-mass constituents interact via the exchange of mesons.…

High Energy Physics - Phenomenology · Physics 2009-11-11 K. Barro-Bergflödt , R. Rosenfelder , M. Stingl

The boundary effects in the open Hubbard chain with boundary fields are studied. The boundary string solutions of the Bethe ansatz equations that give rise to a wave functions localized at the boundary and exponentially decreasing away from…

Strongly Correlated Electrons · Physics 2009-10-30 Osamu Tsuchiya , Takashi Yamamoto