Soldering Formalism: Theory and Applications

Abstract

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 $D\ge 2$ 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.

arXiv commentLaTex file, 42 pages, Talk presented at Universite de Montreal, Nov. 24-27, 1997

References in corpus (1)

• Electric-Magnetic Duality and Effective Field Theories

Cited by in corpus (16)

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• On the Lorentz symmetry of the noncommutative chiral bosons
• Higher order self-dual models for spin-3 particles in $D=2+1$
• Soldering spin-3/2 fermions in $D=2+1$
• Open string with a background B-field as the first order mechanics, noncommutativity and soldering formalism
• Topics on the Quantum Dynamics of Chiral Bosons
• New possibilities for the gauging of chiral bosons
• Some considerations on duality concerning kappa-Minkowski spacetime theories
• Interference phenomena, chiral bosons and Lorentz invariance
• Reaching out a "geometrical" description for spin-4 self-dual models in $D=2+1$
• Theories on noncommutative spaces and deformed symmetries
• New remarks on the linear constraint self-dual boson and Wess-Zumino terms
• Eliminating the chiral anomaly via symplectic embedding approach