Se p 20 00 UNIFIED STUDY OF PLANAR FIELD THEORIES
نویسنده
چکیده
A " Master " gauge theory is constructed in 2+1-dimensions through which various gauge invariant and gauge non-invariant theories can be studied. In particular, Maxwell-Chern-Simons, Maxwell-Proca and Maxwell-Chern-Simons-Proca models are considered here. The Master theory in an enlarged phase space is constructed both in Lagrangian (Stuckelberg) and Hamil-tonian (Batalin-Tyutin) frameworks, the latter being the more general one, which includes the former as a special case. Subsequently, BRST quantization of the latter is performed. Lastly, the master Lagrangian, constructed by Deser and Jackiw (Phys. Lett. B139, (1984) 371), to show the equivalence between the Maxwell-Chern-Simons and the self-dual model, is also reproduced from our Batalin-Tyutin extended model. Symplectic quantization procedure for constraint systems is adopted in the last demonstration.
منابع مشابه
Topological M-Strings and Supergroup WZW Models
We study the boundary conditions in topologically twisted Chern-Simons matter theories with the Lie 3-algebraic structure. We find that the supersymmetric boundary conditions and the gauge invariant boundary conditions can be unified as complexified gauge invariant boundary conditions which lead to supergroup WZW models. We propose that the low-energy effective field theories on the two-dimensi...
متن کاملar X iv : h ep - p h / 04 04 20 8 v 1 2 3 A pr 2 00 4 Finite Unified Theories and the Higgs Mass Prediction
Finite Unified Theories (FUTs) are N=1 supersymmetric Grand Unified Theories, which can be made all-loop finite, both in the dimensionless (gauge and Yukawa couplings) and dimensionful (soft supersymmetry breaking terms) sectors. This remarkable property provides a drastic reduction in the number of free parameters, which in turn leads to an accurate prediction of the top quark mass in the dime...
متن کاملX iv : h ep - t h / 99 09 20 9 v 1 2 9 Se p 19 99 String Representation and Nonperturbative Properties of Gauge Theories ∗
Recent progress achieved in the solution of the problem of confinement in various (non-)Abelian gauge theories by virtue of a derivation of their string representation is reviewed. The theories under study include QCD within the so-called Method of Field Correlators, QCD-inspired Abelian-projected theories, and compact QED in three and four space-time dimensions. Various nonperturbative propert...
متن کاملar X iv : h ep - l at / 0 20 91 06 v 2 3 0 Se p 20 02 SU - 4252 - 767 August 2002 Stripes from ( noncommutative ) stars
We show that lattice regularization of noncommutative field theories can be used to study non-perturbative vacuum phases. Specifically we provide evidence for the existence of a striped phase in two-dimensional noncommutative scalar field theory.
متن کاملM ay 2 00 8 Invariants from classical field theory
We introduce a method that generates invariant functions from perturbative classical field theories depending on external parameters. Applying our methods to several field theories such as abelian BF , Chern-Simons and 2-dimensional Yang-Mills theory, we obtain, respectively, the linking number for embedded submanifolds in compact varieties, the Gauss’ and the second Milnor’s invariant for link...
متن کامل