Bound states and asymptotic fields in model field theories

2005 ◽  
pp. 170-174
Author(s):  
Yusuke Kato
Keyword(s):  
Bound States ◽  
Field Theories ◽  
Model Field ◽  
Asymptotic Fields

scholarly journals REVIEW OF THE N-QUANTUM APPROACH TO BOUND STATES

2011 ◽  
Vol 26 (06) ◽  
pp. 935-945 ◽  
Author(s):  
O. W. GREENBERG
Keyword(s):  
Hydrogen Atom ◽  
Bound States ◽  
Bound State ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Asymptotic Field ◽  
Quantum Approach ◽  
Future Work ◽  
Asymptotic Fields

We describe a method of solving quantum field theories using operator techniques based on the expansion of interacting fields in terms of asymptotic fields. For bound states, we introduce an asymptotic field for each (stable) bound state. We choose the nonrelativistic hydrogen atom as an example to illustrate the method. Future work will apply this N-quantum approach to relativistic theories that include bound states in motion.

scholarly journals Asymptotic Fields in Model Field Theories. I

1971 ◽  
Vol 45 (2) ◽  
pp. 628-639 ◽  
Author(s):  
Yusuke Kato ◽  
Nobumichi Mugibayashi
Keyword(s):  
Field Theories ◽  
Model Field ◽  
Asymptotic Fields

Alternative Formulations of Scattering in Model Field Theories

1965 ◽  
Vol 6 (11) ◽  
pp. 1653-1663
Author(s):  
Harry Gelman ◽  
Kurt Haller
Keyword(s):  
Field Theories ◽  
Model Field

scholarly journals Independent-Cluster Parametrizations of Wave Functions in Model Field Theories

1993 ◽  
Vol 227 (2) ◽  
pp. 275-333 ◽  
Author(s):  
J.S. Arponen ◽  
R.F. Bishop
Keyword(s):  
Wave Functions ◽  
Field Theories ◽  
Model Field

BOUND STATE ENERGIES IN THE 1/N EXPANSION

1993 ◽  
Vol 08 (09) ◽  
pp. 1613-1628
Author(s):  
T. JAROSZEWICZ ◽  
P.S. KURZEPA
Keyword(s):  
Bound States ◽  
Symmetric Tensor ◽  
Bound State ◽  
Binding Energies ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Leading Order ◽  
3 Dimensional ◽  
Weakly Coupled

We derive and solve — in an arbitrary number of dimensions — Omnès-type equations for bound-state energies in weakly coupled quantum field theories. We show that, for theories defined in the 1/N expansion, these equations are exact to leading order in 1/N. We derive and discuss the weak coupling and nonrelativistic limits of the Omnès equations. We then calculate the binding energies and effective bound-state couplings in (1+1), (1+2) and (1+3)-dimensional O(N)-invariant ϕ4 theory. We consider both the scalar and symmetric tensor bound states.

scholarly journals BOUNDARY BOUND STATES IN AFFINE TODA FIELD THEORY

1995 ◽  
Vol 10 (05) ◽  
pp. 739-751 ◽  
Author(s):  
ANDREAS FRING ◽  
ROLAND KÖBERLE
Keyword(s):  
Field Theory ◽  
Bound States ◽  
Dynkin Diagram ◽  
Binding Energies ◽  
Field Theories ◽  
Complete Set ◽  
Reflecting Boundaries ◽  
Toda Field Theory

We demonstrate that the generalization of the Coleman–Thun mechanism may be applied to the situation where one considers scattering processes in 1 + 1 dimensions in the presence of reflecting boundaries. For affine Toda field theories we find that the binding energies of the bound states are always half the sum over a set of masses having the same color with respect to the bicoloration of the Dynkin diagram. For the case of E6 affine Toda field theory we compute explicitly the spectrum of all higher boundary bound states. The complete set of states constitutes a closed bootstrap.

scholarly journals A general class of cut-off model field theories

1969 ◽  
Vol 15 (1) ◽  
pp. 47-68 ◽  
Author(s):  
Arthur M. Jaffe ◽  
Oscar E. Lanford ◽  
Arthur S. Wightman
Keyword(s):  
General Class ◽  
Field Theories ◽  
Model Field
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