scholarly journals A new path-integral representation of the T-matrix in potential scattering

2011 ◽  
Vol 375 (43) ◽  
pp. 3781-3785 ◽  
Author(s):  
J. Carron ◽  
R. Rosenfelder
Keyword(s):  
Integral Representation ◽  
Path Integral ◽  
Potential Scattering ◽  
Path Integral Representation ◽  
T Matrix

ANOTHER DERIVATION OF A SUPERPARTICLE ACTION

1991 ◽  
Vol 06 (21) ◽  
pp. 1977-1982 ◽  
Author(s):  
E. S. FRADKIN ◽  
SH. M. SHVARTSMAN
Keyword(s):  
Green Function ◽  
Integral Representation ◽  
Path Integral ◽  
Path Integral Representation ◽  
Chiral Superfield

It is shown that the reparametrization invariant superparticle action can be determined by constructing the path-integral representation for the causal Green function of a chiral superfield interacting with an external Maxwell superfield.

scholarly journals SUPERSYMMETRY, HOMOLOGY WITH TWISTED COEFFICIENTS AND n-DIMENSIONAL KNOTS

2006 ◽  
Vol 21 (19n20) ◽  
pp. 4185-4196 ◽  
Author(s):  
EIJI OGASA
Keyword(s):  
Integral Representation ◽  
Natural Number ◽  
Quantum System ◽  
Path Integral ◽  
Topological Invariant ◽  
Supersymmetric Theory ◽  
Path Integral Representation ◽  
Alexander Polynomials ◽  
Usual Manner ◽  
Infinitesimal Transformations

In this paper, we study and construct a set of Witten indexes for K, where K is any n-dimensional knot in Sn+2 and n is any natural number. We form a supersymmetric quantum system for K by, first, constructing a set of functional spaces (spaces of fermionic (resp. bosonic) states) and a set of operators (supersymmetric infinitesimal transformations) in an explicit way. Our Witten indexes are topological invariant and they are nonzero in general. These indexes are zero if K is equivalent to a trivial knot. Besides, our Witten indexes restrict to the Alexander polynomials of n-knots, and one of the Alexander polynomials of K is nontrivial if any of the Witten indexes is nonzero. Our indexes are related to homology with twisted coefficients. Roughly speaking, these indexes posseses path-integral representation in the usual manner of supersymmetric theory.

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