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We study the constraint structure of the topologically massive theory with one- and two-form fields in the framework of Batalin-Fradkin-Tyutin embedding procedure. Through this analysis we obtain a new type of Wess-Jumino action with novel…

High Energy Physics - Theory · Physics 2014-11-18 Seung-Kook Kim , Yong-Wan Kim , Young-Jai Park

We analyze in detail the quantum phase transitions that arise in models based on the $u(2)$ algebraic description for bosonic systems with two types of scalar bosons. First we discuss the quantum phase transition that occurs in hamiltonians…

Nuclear Theory · Physics 2014-11-20 L. Fortunato , L. Sartori

We show that a complete covariantization of the chiral constraint in the Floreanini-Jackiw necessitates an infinite number of auxiliary Wess-Zumino fields otherwise the covariantization is only partial and unable to remove the nonlocality…

High Energy Physics - Theory · Physics 2015-06-26 C. Neves , E. M. C. de Abreu , C. Wotzasek

We discuss the structure of auxiliary fields for non-Abelian BF theories in arbitrary dimensions. By modifying the classical BRST operator, we build the on-shell invariant complete quantum action. Therefore, we introduce the auxiliary…

High Energy Physics - Theory · Physics 2010-11-05 D. Ghaffor , M. Tahiri

The quantum action principle of renormalisation theory is applied to the antibracket-antifield formalism for Hamiltonian systems. General results on the local BRST cohomology allow one to prove that the anomalies appear in the time…

High Energy Physics - Theory · Physics 2009-10-22 G. Barnich

We systematically apply the formalism of duality walls to study the action of duality transformations on boundary conditions and local and nonlocal operators in two, three, and four-dimensional free field theories. In particular, we…

High Energy Physics - Theory · Physics 2009-11-13 Anton Kapustin , Mikhail Tikhonov

We generalize the BRST transformations in Abelian rank-2 tensor field theory by allowing the parameter to be finite and field dependent and show that such transformations play crucial role in studying the Abelian 2-form gauge theory in…

High Energy Physics - Theory · Physics 2013-11-26 Sudhaker Upadhyay , Bhabani Prasad Mandal

We study systematically finite BRST- BV transformations in the field-antifield formalism. We present explicitly their Jacobians and the form of a solution to the compensation equation determining the functional field dependence of finite…

High Energy Physics - Theory · Physics 2015-06-19 Igor A. Batalin , Peter M. Lavrov , Igor V. Tyutin

A two dimensional model of chiral bosons in non-commutative field space is considered in the framework of the Batalin-Fradkin-Tyutin (BFT) Hamiltonian embedding method converting the second-class constrained system into the first-class one.…

High Energy Physics - Theory · Physics 2008-11-26 Wontae Kim , Young-Jai Park , Hyeonjoon Shin , Myung Seok Yoon

An exact representation of the Euclidean fermion determinant in two dimensions for centrally symmetric, finite-ranged Abelian background fields is derived. Input data are the wave function inside the field's range and the scattering phase…

High Energy Physics - Theory · Physics 2009-11-10 M. P. Fry

Reducible constrained Hamiltonian systems are quantized accordingly an irreducible BRST manner. Our procedure is based on the construction of an irreducible theory which is physically equivalent with the original one. The equivalence…

High Energy Physics - Theory · Physics 2008-11-26 C. Bizdadea , S. O. Saliu

A novel inhomogeneous gauge transformation law is proposed for a non-Abelian adjoint two-form in four dimensions. Rules for constructing actions invariant under this are given. The auxiliary vector field which appears in some of these…

High Energy Physics - Theory · Physics 2009-11-07 Amitabha Lahiri

We use the formalism of quantum off-shell fields for the case of pure Yang-Mills fields. In this formalism one can compute in a systematic way the second order anomalies of the tree sector.

High Energy Physics - Theory · Physics 2010-11-16 Dan Radu Grigore

We quantize the self-dual massive theory by using the Batalin-Tyutin Hamiltonian method, which systematically embeds second class constraint system into first class one in the extended phase space by introducing the new fields. Through this…

High Energy Physics - Theory · Physics 2009-10-28 Yong-Wan Kim , Young-Jai Park , Kee Yong Kim , Yongduk Kim

We apply the BV formalism to non-commutative field theories, introduce BRST symmetry, and gauge-fix the models. Interestingly, we find that treating the full gauge symmetry in non-commutative models can lead to reducible gauge algebras. As…

High Energy Physics - Theory · Physics 2014-11-20 Klaus Bering , Harald Grosse

Quantum deformed potentials arise naturally in quantum mechanical systems of one bosonic coordinate coupled to $N_f$ Grassmann valued fermionic coordinates, or to a topological Wess-Zumino term. These systems decompose into sectors with a…

High Energy Physics - Theory · Physics 2023-04-21 Syo Kamata , Tatsuhiro Misumi , Naohisa Sueishi , Mithat Ünsal

Blocking transformation is performed in quantum field theory at finite temperature. It is found that the manner temperature deforms the renormalized trajectories can be used to understand better the role played by the quantum fluctuations.…

High Energy Physics - Theory · Physics 2009-10-28 Sen-Ben Liao , Janos Polonyi , Dapeng Xu

We introduce external sources J_A directly into the quantum master action W of the field-antifield formalism instead of the effective action. The external sources J_A lead to a set of BRST-invariant functions W^A that are in antisymplectic…

High Energy Physics - Theory · Physics 2014-04-18 Igor A. Batalin , Klaus Bering

We report a comprehensive discussion of quantum interference effects due to the finite structure of excitons in quantum rings and their first experimental corroboration observed in the optical recombinations. Anomalous features that appear…

Quantum corrections to Legendre transformations are shown to cancel to all orders in supersymmetric theories in path integral formalism. Using this result, lagrangians for auxiliary fields are generalized to non-quadratic forms. In…

High Energy Physics - Theory · Physics 2009-10-31 Kiyoshi Higashijima , Muneto Nitta