Lagrangian field theory in terms of Green’s functions

1968 ◽  
Vol 53 (4) ◽  
pp. 1021-1038 ◽  
Author(s):  
F. Englert ◽  
C. De Dominicis
Keyword(s):  
Field Theory ◽  
Green's Functions ◽  
Green’S Functions ◽  
Lagrangian Field Theory

Ising Field Theory: Quadratic Difference Equations for then-Point Green's Functions on the Lattice

1981 ◽  
Vol 46 (12) ◽  
pp. 757-760 ◽  
Author(s):  
Barry M. McCoy ◽  
Jacques H. H. Perk ◽  
Tai Tsun Wu
Keyword(s):  
Field Theory ◽  
Difference Equations ◽  
Green's Functions ◽  
Green’S Functions

Green’s functions for spin half field theory in Rindler space

Pramana ◽  
1977 ◽  
Vol 9 (5) ◽  
pp. 441-456 ◽  
Author(s):  
B R Iyer ◽  
Arvind Kumar
Keyword(s):  
Field Theory ◽  
Green's Functions ◽  
Green’S Functions ◽  
Rindler Space

scholarly journals Formal aspects of non-perturbative Quantum Field Theory via an operator theoretic setting

2019 ◽  
Vol 16 (12) ◽  
pp. 1950192
Author(s):  
Ali Shojaei-Fard
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Dynamics ◽  
Green's Functions ◽  
Green’S Functions ◽  
Quantum Field ◽  
Perturbative Quantum ◽  
Perturbative Quantum Field Theory

The paper builds the original foundations of a new operator theoretic setting for the study of quantum dynamics of non-perturbative aspects originated from Green’s functions in Quantum Field Theory with strong couplings.

ON THE INFINITIES OF CLOSED SUPERSTRING AMPLITUDES

1988 ◽  
Vol 03 (09) ◽  
pp. 883-892 ◽  
Author(s):  
A. RESTUCCIA ◽  
J.G. TAYLOR
Keyword(s):  
Field Theory ◽  
Light Cone ◽  
Green's Functions ◽  
Green’S Functions ◽  
Type Ii ◽  
World Sheet ◽  
Light Cone Gauge

We present an analysis of possible infinities that may be present in uncompactified multi-loop heterotic and type II superstring amplitudes constructed, without use of the short-string limit, in the light-cone gauge, and with use of a closed [10]-SUSY field theory algebra. Various types of degenerations of the integrand are discussed on the string world-sheet. No infinities are found, modulo (for type II) a particular identity for Green’s functions.

scholarly journals Zur Theorie nichtlinearer Spinorfelder

1965 ◽  
Vol 20 (11) ◽  
pp. 1505-1518
Author(s):  
H. Mitter
Keyword(s):  
Field Theory ◽  
Green's Functions ◽  
Green’S Functions ◽  
Formal Solution ◽  
Mass Operator ◽  
Formal Structure ◽  
Approximation Methods ◽  
Relativistic Field ◽  
Relativistic Field Theory ◽  
Conserved Current

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.

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