scholarly journals The SUSY Yang–Mills plasma in a T-matrix approach

2015 ◽  
Vol 30 (24) ◽  
pp. 1550145 ◽  
Author(s):  
Gwendolyn Lacroix ◽  
Claude Semay ◽  
Fabien Buisseret
Keyword(s):  
Gauge Group ◽  
Bound States ◽  
Bound State ◽  
Lattice Data ◽  
Superstring Theory ◽  
Matrix Formulation ◽  
Yang Mills ◽  
Bound State Spectrum ◽  
T Matrix ◽  
Arbitrary Gauge

In this paper, the thermodynamic properties of [Formula: see text] supersymmetric Yang–Mills theory with an arbitrary gauge group are investigated. In the confined range, we show that identifying the bound state spectrum with a Hagedorn one coming from noncritical closed superstring theory leads to a prediction for the value of the deconfining temperature [Formula: see text] that agrees with recent lattice data. The deconfined phase is studied by resorting to a [Formula: see text]-matrix formulation of statistical mechanics in which the medium under study is seen as a gas of quasigluons and quasigluinos interacting nonperturbatively. Emphasis is put on the temperature range (1–5) [Formula: see text], where the interactions are expected to be strong enough to generate bound states. Binary bound states of gluons and gluinos are indeed found to be bound up to 1.4 [Formula: see text] for any gauge group. The equation of state is then computed numerically for [Formula: see text] and [Formula: see text], and discussed in the case of an arbitrary gauge group. It is found to be nearly independent of the gauge group and very close to that of nonsupersymmetric Yang–Mills when normalized to the Stefan–Boltzmann pressure and expressed as a function of [Formula: see text].

scholarly journals Comment on: “Some quantum aspects of a particle with electric quadrupole moment interacting with an electric field subject to confining potentials”

2020 ◽  
Vol 35 (25) ◽  
pp. 2075002
Author(s):  
Francisco M. Fernández
Keyword(s):  
Electric Field ◽  
Quadrupole Moment ◽  
Bound States ◽  
Electric Quadrupole ◽  
Bound State ◽  
Electric Quadrupole Moment ◽  
Bound State Spectrum ◽  
Moving Particle ◽  
Quantum Aspects

We analyze the results obtained from a model consisting of the interaction between the electric quadrupole moment of a moving particle and an electric field. We argue that the system does not support bound states because the motion along the [Formula: see text] axis is unbounded. It is shown that the author obtains a wrong bound-state spectrum for the motion in the [Formula: see text] plane and that the existence of allowed cyclotron frequencies is an artifact of the approach.

The nucleon–nucleon interaction. I. Scalar mesons

1976 ◽  
Vol 54 (3) ◽  
pp. 322-332
Author(s):  
A. Z. Capri ◽  
D. Menon ◽  
R. Teshima
Keyword(s):  
Bound States ◽  
Bound State ◽  
Nucleon Nucleon ◽  
Phase Shifts ◽  
Variational Calculation ◽  
Coupling Constant ◽  
Nucleon Interaction ◽  
Scalar Mesons ◽  
T Matrix ◽  
Nucleon Nucleon Interaction

The two-nucleon interaction, via the exchange of scalar mesons, is examined in a nonperturbative manner. 'Schrödinger' equations are derived, and nonlocal potentials arise naturally. Both scattering and bound states are examined. A half-off-shell T matrix is obtained, and corresponding phase shifts are evaluated. In the bound state, a variational calculation is employed to determine the coupling constant.

Effect of Biquadratic Exchange Upon Ferromagnetic Two-Magnon Bound States. II. Anisotropic Exchange

1974 ◽  
Vol 52 (1) ◽  
pp. 33-39 ◽  
Author(s):  
D. A. Pink ◽  
R. Ballard
Keyword(s):  
Bound States ◽  
Exchange Interactions ◽  
Bound State ◽  
Exchange Term ◽  
Zero Temperature ◽  
Biquadratic Exchange ◽  
Anisotropic Exchange ◽  
Bound State Spectrum ◽  
Mode Pair ◽  
Isotropic Exchange

We have investigated the two-magnon bound state spectrum of a ferromagnetically ordered system for which the Hamiltonian contains an anisotropic bilinear exchange term, an anisotropic biquadratic exchange term, and a single-ion anisotropy term. The bound states, labelled by a wave vector q which we have taken to be in the [111] direction, were calculated by using zero-temperature Green functions. The principal results are: (i) the existence of single-ion bound states in the absence of single-ion anisotropy and conversely, their absence in the presence of such anisotropy, in contrast to the case in which the exchange interactions are isotropic; (ii) the appearance of an S mode for values of q, [Formula: see text]; (iii) the ordering of bound states for isotropic exchange interactions wherein the S0 mode lies below the S1-mode, D-mode pair and where the S1 mode lies below (above) the D mode if they lie below (above) the band, no longer holds.

scholarly journals The AdS 5  × S 5 superstring

2020 ◽  
Vol 476 (2240) ◽  
pp. 20200305
Author(s):  
John H. Schwarz
Keyword(s):  
Gauge Group ◽  
World Sheet ◽  
Superstring Theory ◽  
Yang Mills ◽  
Super Yang Mills Theory

The duality between the type IIB superstring theory in an AdS 5  × S 5 background with N units of five-form flux and N = 4 super Yang–Mills theory with a U ( N ) gauge group has been studied extensively. My version of the construction of the superstring world-sheet action is reviewed here.

scholarly journals GRAVITY AND YANG-MILLS THEORY: TWO FACES OF THE SAME THEORY?

1994 ◽  
Vol 03 (04) ◽  
pp. 695-722 ◽  
Author(s):  
SUBENOY CHAKRABORTY ◽  
PETER PELDÁN
Keyword(s):  
Phase Space ◽  
Gauge Group ◽  
Weak Field ◽  
De Sitter ◽  
Yang Mills ◽  
Sitter Spacetime ◽  
Lorentzian Signature ◽  
Spherically Symmetric Solution ◽  
Higgs Scalar ◽  
Arbitrary Gauge

We introduce a gauge and diffeomorphism invariant theory on the Yang-Mills phase space. The theory is well defined for an arbitrary gauge group with an invariant bilinear form, it contains only first class constraints, and the spacetime metric has a simple form in terms of the phase space variables. With gauge group SO (3, C), the theory equals the Ashtekar formulation of gravity with a cosmological constant. For Lorentzian signature, the theory is complex, and we have not found any good reality conditions. In the Euclidean signature case, everything is real. In a weak field expansion around de Sitter spacetime, the theory is shown to give the conventional Yang-Mills theory to the lowest order in the fields. We show that the coupling to a Higgs scalar is straightforward, while the naive spinor coupling does not work. We have not found any way of including spinors that gives a closed constraint algebra. For gauge group U(2), we find a static and spherically symmetric solution.

scholarly journals Exploring Reggeon bound states in strongly-coupled $$ \mathcal{N} $$ = 4 super Yang-Mills

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Theresa Abl ◽  
Martin Sprenger
Keyword(s):  
Analytic Continuation ◽  
Bound States ◽  
Large Mass ◽  
Bound State ◽  
Strongly Coupled ◽  
Yang Mills ◽  
Remainder Function ◽  
Regge Limit ◽  
Case Basis ◽  
Number Of Particles

Abstract The multi-Regge limit of scattering amplitudes in strongly-coupled $$ \mathcal{N} $$ N = 4 super Yang-Mills is described by the large mass limit of a set of thermodynamic Bethe ansatz (TBA) equations. A non-trivial remainder function arises in this setup in certain kinematical regions due to excitations of the TBA equations which appear during the analytic continuation into these kinematical regions. So far, these analytic continuations were carried out on a case-by-case basis for the six- and seven-gluon remainder function. In this note, we show that the set of possible excitations appearing in any analytic continuation in the multi-Regge limit for any number of particles is rather constrained. In particular, we show that the BFKL eigenvalue of any possible Reggeon bound state is a multiple of the two-Reggeon BFKL eigenvalue appearing in the six-gluon case.

scholarly journals BOUND STATES FROM REGGE TRAJECTORIES IN A SCALAR MODEL

2001 ◽  
Vol 16 (27) ◽  
pp. 4377-4400
Author(s):  
A. WEBER ◽  
J. C. LÓPEZ VIEYRA ◽  
C. R. STEPHENS ◽  
S. DILCHER ◽  
P. O. HESS
Keyword(s):  
Renormalization Group ◽  
Bound States ◽  
Bound State ◽  
Nonrelativistic Limit ◽  
Ladder Approximation ◽  
Scalar Model ◽  
Scalar Theory ◽  
Regge Trajectories ◽  
Bound State Spectrum ◽  
Compare And Contrast

The calculation of bound state properties using renormalization group techniques to compute the corresponding Regge trajectories is presented. In particular, we investigate the bound states in different charge sectors of a scalar theory with interaction ϕ†ϕχ. The resulting bound state spectrum is surprisingly rich. Where possible we compare and contrast with known results of the Bethe–Salpeter equation in the ladder approximation and, in the nonrelativistic limit, with the corresponding Schrödinger equation.

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