Gauge invariant quarkonium bound state equation

2012 ◽  
Author(s):  
H. Sazdjian
Keyword(s):  
Bound State ◽  
State Equation ◽  
Gauge Invariant

CONSISTENT CANONICAL QUANTIZATION OF THE CHIRAL SCHWINGER MODEL

1991 ◽  
Vol 06 (21) ◽  
pp. 3823-3841 ◽  
Author(s):  
FUAD M. SARADZHEV
Keyword(s):  
Canonical Quantization ◽  
Bound State ◽  
Gauge Invariant ◽  
Gauge Transformations ◽  
Schwinger Model ◽  
Canonical Variables ◽  
Bound State Spectrum

For the chiral Schwinger model, the canonical quantization formulation consistent with the Gauss law constraint is developed. This requires modification of the canonical variables of the model. The formulation presented is unitary and gauge-invariant under modified gauge transformations. The bound state spectrum of the model is established.

Derivation of the three-body bound-state equation from the effective action

1989 ◽  
Vol 40 (8) ◽  
pp. 2654-2661 ◽  
Author(s):  
M. Komachiya ◽  
M. Ukita ◽  
R. Fukuda
Keyword(s):  
Effective Action ◽  
Bound State ◽  
State Equation ◽  
Three Body

scholarly journals Convariant single-time bound-state equation

1995 ◽  
Vol 353 (2-3) ◽  
pp. 284-288 ◽  
Author(s):  
O.W. Greenberg ◽  
R. Ray ◽  
F. Schlumpf
Keyword(s):  
Bound State ◽  
State Equation ◽  
Single Time

scholarly journals The spinless relativistic kink-like problem

2015 ◽  
Vol 30 (12) ◽  
pp. 1550062 ◽  
Author(s):  
Wolfgang Lucha ◽  
Franz F. Schöberl
Keyword(s):  
Quantum Theory ◽  
Eigenvalue Problem ◽  
Schrödinger Equation ◽  
Boundary Conditions ◽  
Schrodinger Equation ◽  
Bound State ◽  
State Equation ◽  
Hyperbolic Tangent ◽  
Central Potential ◽  
All Solutions

We constrain the possible bound-state solutions of the spinless Salpeter equation (the most obvious semirelativistic generalization of the nonrelativistic Schrödinger equation) with an interaction between the bound-state constituents given by the kink-like potential (a central potential of hyperbolic-tangent form) by formulating a bunch of very elementary boundary conditions to be satisfied by all solutions of the eigenvalue problem posed by a bound-state equation of this type, only to learn that all results produced by a procedure very much liked by some quantum-theory practitioners prove to be in severe conflict with our expectations.

ENERGY SPECTRA OF GLUINONIUM

2011 ◽  
Vol 20 (supp02) ◽  
pp. 200-209
Author(s):  
CÉSAR A. Z. VASCONCELLOS ◽  
DIMITER HADJIMICHEF ◽  
MÁRIO L. L. DA SILVA ◽  
MOISÉS RAZEIRA ◽  
ALEXANDRE MESQUITA ◽  
...  
Keyword(s):  
Energy Spectrum ◽  
Excited States ◽  
Bound States ◽  
Bound State ◽  
State Equation ◽  
Relativistic Case ◽  
Light Scalar ◽  
Pseudo Scalar ◽  
Relativistic Bound States

We investigate relativistic bound states for a hypothetical light scalar gluino pair (gluinonium), in the framework of the covariant Bethe-Salpeter equation (BSE). In this paper, we derive, from the covariant BSE for a fermion-anti-fermion system, using charge conjugation, the corresponding bound-state equation for a gluino pair and we then formulate, for a static harmonic kernel, the coupled differential equations for the corresponding static Bethe-Salpeter amplitude. The steps of our approach then include a numerical solution of the Bethe-Salpeter amplitude for a two-body interaction consisting of scalar, pseudo-scalar, and four-vector components and the determination of the energy spectrum for the ground and the radially excited states of massive gluinonium. We found the energy spectrum and radial distributions of fundamental and excited states of gluinonium. The comparison of the values obtained in the extreme relativistic case with the corresponding values predicted by a harmonic oscillator potential model shows that there is good agreement between the two formulations. The predictions of the binding energy of glunionium in the non-relativistic model are however systematically higher.

scholarly journals THE GROSS–NEVEU MODEL ON THE LIGHT-CONE

1995 ◽  
Vol 10 (06) ◽  
pp. 525-537 ◽  
Author(s):  
IGOR PESANDO
Keyword(s):  
Light Cone ◽  
Bound State ◽  
State Equation ◽  
Coupling Constant ◽  
Normal Ordering ◽  
Running Coupling ◽  
Running Coupling Constant ◽  
Light Cone Quantization ◽  
Gross Neveu Model

We consider the (massive) Gross–Neveu model using the light-cone quantization where we solve the constraints explicitly. We show that the vacuum is trivial and that the quantization fails when m = 0. We show that the running coupling constant emerges as a pure normal ordering effect and we discuss the bound state equation.

Solutions of the three-magnon bound state equation. III. The physical eigenstate

1978 ◽  
Vol 19 (10) ◽  
pp. 2187 ◽  
Author(s):  
Chanchal K. Majumdar ◽  
Indrani Bose
Keyword(s):  
Bound State ◽  
State Equation

THE BOUND STATE EQUATION FOR TWO GLUONS AND ITS SOLUTION

1999 ◽  
Vol 14 (13) ◽  
pp. 2117-2132
Author(s):  
J. Y. CUI ◽  
J. M. WU
Keyword(s):  
Field Theory ◽  
Relativistic Quantum ◽  
Bound State ◽  
State Equation ◽  
Exchange Potential ◽  
Quantum Field ◽  
Relativistic Quantum Field Theory ◽  
Lattice Calculation ◽  
Confining Potential ◽  
Instantaneous Approximation

We derive the bound state equation for two gluons in relativistic quantum field theory, i.e. the Bethe–Salpeter (BS) equation for two gluons. To solve it, we choose the kernel as the sum of a one-gluon exchange potential, a contact interaction and a linear confining potential. Under instantaneous approximation, this BS equation is solved numerically. The spectrum and the BS wave function of the glueballs are obtained in this framework. The numerical results are in agreement with that of recent lattice calculation.

't Hooft bound-state equation: A view from two gauges

1976 ◽  
Vol 14 (12) ◽  
pp. 3472-3481 ◽  
Author(s):  
Namik K. Pak ◽  
H. C. Tze
Keyword(s):  
Bound State ◽  
State Equation
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