Particle spectrum in model field theories from semiclassical functional integral techniques

1975 ◽  
Vol 11 (12) ◽  
pp. 3424-3450 ◽  
Author(s):  
Roger F. Dashen ◽  
Brosl Hasslacher ◽  
André Neveu
Keyword(s):  
Functional Integral ◽  
Field Theories ◽  
Particle Spectrum ◽  
Model Field

SHEAF COHOMOLOGY AND FUNCTIONAL INTEGRATION

1989 ◽  
Vol 04 (18) ◽  
pp. 4919-4928
Author(s):  
CHARLES NASH
Keyword(s):  
Functional Integration ◽  
Functional Integral ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Topological Properties ◽  
Sheaf Cohomology

Various analytic and topological properties of the spaces of functions arising in the functional integral are derived. It is shown that these spaces can possess attractive properties such as continuity, smoothness, and complex analyticity. We provide illustrations of the results with examples taken from several quantum field theories in varying dimensions.

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 Some comments on infinities on quantum field theory: A functional integral approach

2016 ◽  
Vol 24 (2) ◽  
Author(s):  
Luiz C. L. Botelho
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Function Space ◽  
Functional Integral ◽  
Field Theories ◽  
Integral Approach ◽  
Quantum Field ◽  
Functional Integrals ◽  
Euclidean Field ◽  
The Subject

AbstractWe analyze on the formalism of probabilities measures-functional integrals on function space the problem of infinities on Euclidean field theories. We also clarify and generalize our previous published studies on the subject.

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

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

scholarly journals Field product renormalization and Wilson-Zimmermann expansion in a class of model field theories

1974 ◽  
Vol 19 (1) ◽  
pp. 153-172 ◽  
Author(s):  
G. C. Hegerfeldt ◽  
J. R. Klauder
Keyword(s):  
Field Theories ◽  
Model Field

scholarly journals Supersymmetric invariant theories

2014 ◽  
Vol 29 (11n12) ◽  
pp. 1450065 ◽  
Author(s):  
S. R. Esipova ◽  
P. M. Lavrov ◽  
O. V. Radchenko
Keyword(s):  
Ward Identity ◽  
Direct Consequence ◽  
Functional Integral ◽  
Field Theories ◽  
Green Functions ◽  
Exact Form ◽  
Generating Functional ◽  
Quantum Description ◽  
Change Of Variables ◽  
Quantum Action

We study field models for which a quantum action (i.e. the action appearing in the generating functional of Green functions) is invariant under supersymmetric transformations. We derive the Ward identity which is a direct consequence of this invariance. We consider a change of variables in functional integral connected with supersymmetric transformations when its parameter is replaced by a nilpotent functional of fields. Exact form of the corresponding Jacobian is found. We find restrictions on generators of supersymmetric transformations when a consistent quantum description of given field theories exists.

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