Solution of the equations for the green’s functions of a two dimensional relativistic field theory

1961 ◽  
Vol 20 (4) ◽  
pp. 773-790 ◽  
Author(s):  
K. Johnson
1965 ◽  
Vol 20 (11) ◽  
pp. 1505-1518
Author(s):  
H. Mitter

The formal structure of a relativistic field theory is examined using functional techniques for GREEN'S functions. The consequences of a locally conserved current constructed from a nonlocal bilinear covariant are studied. They result in a modified from of the TAKAHASHI identities. Some problems are briefly discussed, which arise, if one tries to match conventional techniques as e.g. the BETHE-SALPETER-method or the SCHWINGER-FRADKIN formal solution with noncanonical quantisation. The consistency of some approximation methods in relation to the afore mentioned problems and to the existence of local currents is investigated. An expansion of the mass operator in powers of the interaction, using exact propagators, turns out to be consistent only with canonical quantisation. For ΤAΜΜ-DANCOFF-like approximations the problem is more intricate.


1978 ◽  
Vol 18 (4) ◽  
pp. 1253-1258 ◽  
Author(s):  
Barry M. McCoy ◽  
Tai Tsun Wu

Author(s):  
Guilherme Ramalho Costa ◽  
José Aguiar santos junior ◽  
José Ricardo Ferreira Oliveira ◽  
Jefferson Gomes do Nascimento ◽  
Gilmar Guimaraes

1995 ◽  
Vol 361 (1-4) ◽  
pp. 74-80 ◽  
Author(s):  
A.N. Ivanov ◽  
N.I. Troitskaya ◽  
M. Faber ◽  
H. Oberhummer

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