7,531 research outputs found
Dressed coordinates: the path-integrals approach
The recent introduced \textit{dressed coordinates} are studied in the
path-integral approach. These coordinates are defined in the context of a
harmonic oscillator linearly coupled to massless scalar field and, it is shown
that in this model the dressed coordinates appear as a coordinate
transformation preserving the path-integral functional measure. The analysis
also generalizes the \textit{sum rules} established in a previous work.Comment: 9 pages, Latex2
A supersymmetric exotic field theory in (1+1) dimensions. One loop soliton quantum mass corrections
We consider one loop quantum corrections to soliton mass for the
supersymmetric extension of the (1+1)-dimensional scalar field theory with the
potential . First, we compute
the one loop quantum soliton mass correction of the bosonic sector. To do that,
we regularize implicitly such quantity by subtracting and adding its
corresponding tadpole graph contribution, and use the renormalization
prescription that the added term vanishes with the corresponding counterterms.
As a result we get a finite unambiguous formula for the soliton quantum mass
corrections up to one loop order. Afterwards, the computation for the
supersymmetric case is extended straightforwardly and we obtain for the one
loop quantum correction of the SUSY kink mass the expected value previously
derived for the SUSY sine-Gordon and models. However, we also have
found that for a particular value of the parameters, contrary to what was
expected, the introduction of supersymmetry in this model worsens ultraviolet
divergences rather than improving them.Comment: 16 pages, 8 figures; Major modifications included to match version
published in JHE
Sum rules in the oscillator radiation processes
We consider the problem of an harmonic oscillator coupled to a scalar field
in the framework of recently introduced dressed coordinates. We compute all the
probabilities associated with the decay process of an excited level of the
oscillator. Instead of doing direct quantum mechanical calculations we
establish some sum rules from which we infer the probabilities associated to
the different decay processes of the oscillator. Thus, the sum rules allows to
show that the transition probabilities between excited levels follow a binomial
distribution.Comment: comments and references added, LaTe
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