Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-06-02
Physics
High Energy Physics
High Energy Physics - Theory
LaTex file, 42 pages, Talk presented at Universite de Montreal, Nov. 24-27, 1997
Scientific paper
The soldering mechanism is a new technique to work with distinct manifestations of dualities that incorporates interference effects, leading to new physical results that includes quantum contributions. This approach was used to investigate the cases of electromagnetic dualities, and $D\geq 2$ bosonization. In the former context this technique is applied for the quantum mechanical harmonic oscillator, the scalar field theory in two dimensions and the Maxwell theory in four dimensions. The soldered actions in any dimension leads to a master action which is duality invariant under a much bigger set of symmetries. The effects of coupling to gravity are also elaborated. In the later context, a technique is developed that solders the dual aspects of some symmetry following from the bosonisation of two distinct fermionic models, leading to new results which cannot be otherwise obtained. Exploiting this technique, the two dimensional chiral determinants with opposite chirality are soldered to reproduce either the usual gauge invariant expression leading to the Schwinger model or, alternatively, the Thirring model. Likewise, two apparently independent three dimensional massive Thirring models with same coupling but opposite mass signatures, in the long wavelegth limit, combine by the process of bosonisation and soldering to yield an effective massive Maxwell theory. The current bosonisation formulas are given, both in the original independent formulation as well as the effective theory, and shown to yield consistent results for the correlation functions.
No associations
LandOfFree
Soldering Formalism: Theory and Applications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Soldering Formalism: Theory and Applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Soldering Formalism: Theory and Applications will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-140045