Integral equations for meson field theory

1957 ◽  
Vol 5 (1) ◽  
pp. 30-44
Author(s):  
R. L. Mills
Keyword(s):  
Field Theory ◽  
Integral Equations ◽  
Meson Field

Integral Equations of Quantized Field Theory

1954 ◽  
Vol 95 (2) ◽  
pp. 548-556 ◽  
Author(s):  
H. S. Green
Keyword(s):  
Field Theory ◽  
Integral Equations ◽  
Quantized Field

The Delta Wing in a Non-Uniform Supersonic Stream

1954 ◽  
Vol 5 (1) ◽  
pp. 55-72 ◽  
Author(s):  
G. N. Lance
Keyword(s):  
Field Theory ◽  
Power Series ◽  
Integral Equations ◽  
Delta Wing ◽  
Supersonic Stream ◽  
Delta Wings ◽  
Uniform Stream

SummaryA generalised conical field theory is developed and is applied to delta wings in a non-uniform stream. It is shown that a non-uniform stream may be characterised by the downwash at all points in space. The lift of a delta wing is found when the downwash in the wing plane is given as a power series in the co-ordinates in the wing plane. The basis of the conical field theory is described in some detail but the results only of the calculation of the lift distribution for various down washes are given. The solutions of certain integral equations, required in the calculations, are given in the Appendix.

CRITICAL BEHAVIOR FROM SCHRÖDINGER REPRESENTATION

1992 ◽  
Vol 07 (22) ◽  
pp. 1975-1981 ◽  
Author(s):  
P. SURANYI
Keyword(s):  
Field Theory ◽  
Ising Model ◽  
Integral Equations ◽  
Critical Behavior ◽  
Transcendental Equation ◽  
Schrödinger Representation ◽  
Correlation Exponent ◽  
Truncation Scheme ◽  
Infinite Set ◽  
Good Agreement

The Schrödinger equation for Φ4 field theory is reduced to an infinite set of integral equations. A systematic truncation scheme is proposed and it is solved in second order to obtain the approximate critical behavior of the renormalized mass. The correlation exponent is given as a solution of a transcendental equation. It is in good agreement with the Ising model in all physical dimensions.

CONSIDERATIONS ON A MESON-ATOMIC MODEL OF THE NUCLEON

1960 ◽  
Vol 38 (10) ◽  
pp. 1245-1255
Author(s):  
L. E. H. Trainor
Keyword(s):  
Field Theory ◽  
Short Range ◽  
Body Problem ◽  
Point Of View ◽  
Atomic Model ◽  
Meson Field ◽  
Many Body ◽  
Screening Effect ◽  
Theory Point ◽  
Insight Into

A model of the nucleon is described in which a π-meson moves about a nucleon core under the action of a hyper-Maxwell field. On such a model, the short range of the internucleon force appears as a screening effect. Despite its obvious limitations, the model does possess some interesting features which lead to results in agreement with experiment. The advantage to such models is that they may provide insight into problems which are enormously difficult from the usual field theory point of view. In particular, one might hope to obtain some understanding of the state of the π -meson field in the nuclear many-body problem.

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