Quantization of Massive Abelian Antisymmetric Tensor Field and Linear Potential

Deguchi, Shinichi; Kokubo, Yousuke

doi:10.1142/s0217732302006680

Cited by 14 publications

(22 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…But we do not think that the agreement is an accidental coincidence. Also, the massive Abelian antisymmetric tensor gauge theory displays the same behavior [11,13]. In other words, there is a class of models which can predict this interaction energy.…”

Section: Dirac Bracket Ismentioning

confidence: 98%

Confinement in the Presence of External Fields and Axions

Gaete

Guendelman

2005

Mod. Phys. Lett. A

View full text Add to dashboard Cite

For a theory with a pseudo scalar coupling φFF and in the case that there is a constant electric or magnetic strength expectation value, we compute the interaction potential within the structure of the gauge-invariant but pathdependent variables formalism. While in the case of a constant electric field strength expectation value the static potential remains Coulombic, in the case of a constant magnetic field strength the potential energy is the sum of a Yukawa and a linear potentials, leading to the confinement of static charges.

show abstract

Section: Dirac Bracket Ismentioning

confidence: 98%

Confinement in the Presence of External Fields and Axions

Gaete

Guendelman

2005

Mod. Phys. Lett. A

View full text Add to dashboard Cite

show abstract

“…For the generating function (3.17) this has been shown by the authors of the first reference in [34]. For the computation of the effective potential this is most easily shown in the case of the original model.…”

Section: The Dual-transformed Actionmentioning

confidence: 84%

Abelian Higgs model effective potential in the presence of vortices

et al. 2005

View full text Add to dashboard Cite

We determine the contribution of nontrivial vacuum (topological) excitations, more specifically vortex-strings of the Abelian Higgs model in 3 + 1 dimensions, to the functional partition function. By expressing the original action in terms of dual transformed fields we make explicit in the equivalent action the contribution of the vortex-strings excitations of the model. The effective potential of an appropriately defined local vacuum expectation value of the vortex-string field in the dual transformed action is then evaluated both at zero and finite temperatures and its properties discussed in the context of the finite temperature phase transition.

show abstract

“…The effective theory of Abelian rank-2 antisymmetric field in axial gauge is convenient in many different situations. The generating functional in axial gauge with a suitable axis is same as the generating functional obtained by using Zwanziger's formulation for electric and magnetic charges [33,34]. Using the FFBRST transformations with the parameter given in Eq.…”

Section: A Effective Theory In Axial Gaugementioning

confidence: 99%

“…Thus the FFBRST transformation with finite parameter given in Eq. tensor field theory in noncovariant gauges, which is very useful in certain situation [34].…”

Section: A Axial Gauge Theory Using Generalized Anti-brstmentioning

confidence: 99%

Generalized BRST Transformation in Abelian Rank-2 Antisymmetric Tensor Field Theory

Upadhyay

Mandal

2010

Mod. Phys. Lett. A

View full text Add to dashboard Cite

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 noncovariant gauges. The generating functionals in different effective theories are connected through these generalized BRST transformations with different choice of finite parameter. We further consider the generalization of the anti-BRST transformations and show that even anti-BRST transformations with the finite field dependent parameter relate the generating functional for different effective theories. Such generalized BRST/anti-BRST transformations are useful in connecting generating functionals corresponding to different effective theories. Field/antifield formulation of this Abelian 2-form gauge theory is also studied in the context of generalized BRST transformations. We show that generalized BRST transformation connects the generating functional corresponding to the different solutions of quantum master equation in field/antifield formulation.

show abstract

Quantization of Massive Abelian Antisymmetric Tensor Field and Linear Potential

Abstract: We discuss a quantum-theoretical aspect of the massive Abelian antisymmetric tensor gauge theory with antisymmetric tensor current. To this end, an

Cited by 14 publications

References 20 publications

Confinement in the Presence of External Fields and Axions

Confinement in the Presence of External Fields and Axions

Abelian Higgs model effective potential in the presence of vortices

Generalized BRST Transformation in Abelian Rank-2 Antisymmetric Tensor Field Theory

Contact Info

Product

Resources

About