Quantum aspects of a noncommutative supersymmetric kink

Details Quantum aspects of a noncommutative supersymmetric kink Quantum aspects of a noncommutative supersymmetric kink

2008-04-12

arxiv.org/abs/0804.2027v2

JHEP 0805:093,2008

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, v2: a reference added

Scientific paper

10.1088/1126-6708/2008/05/093

We consider quantum corrections to a kink of noncommutative supersymmetric phi^4 theory in 1+1 dimensions. Despite the presence of an infinite number of time derivatives in the action, we are able to define supercharges and a Hamiltonian by using an unconventional canonical formalism. We calculate the quantum energy E of the kink (defined as a half-sum of the eigenfrequencies of fluctuations) which coincides with its' value in corresponding commutative theory independently of the noncommutativity parameter. The renormalization also proceeds precisely as in the commutative case. The vacuum expectation value of the new Hamiltonian is also calculated and appears to be consistent with the value of the quantum energy E of the kink.

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