ABSOLUTE ANTICOMMUTATIVITY OF THE NILPOTENT SYMMETRIES IN THE HAMILTONIAN FORMALISM: FREE ABELIAN 2-FORM GAUGE THEORY

被引：4

作者：

Malik, R. P. ^{[1
,2
]}

Mandal, B. P. ^{[1
]}

Rai, S. K. ^{[1
]}

机构：

[1] Banaras Hindu Univ, Dept Phys, Ctr Adv Studies, Varanasi 221005, Uttar Pradesh, India

[2] Banaras Hindu Univ, Fac Sci, DST Ctr Interdisciplinary Math Sci, Varanasi 221005, Uttar Pradesh, India

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2009年 / 24卷 / 32期

关键词：

4D free Abelian 2-form gauge theory; Hamiltonian formulation; anticommutativity; nilpotent (anti-)BRST and (anti-)co-BRST symmetries; CF-type restrictions; SUPERSPACE FORMULATION; RENORMALIZATION; BRST;

D O I：

10.1142/S0217751X09047715

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

The celebrated Curci-Ferrari (CF) type of restrictions are invoked to obtain the off-shell nilpotent and absolutely anticommuting (anti-)BrRST as well as (anti-)co-BRST symmetry transformations in the context of the Lagrangian description of the physical four (3+1)-dimensional (4D) free Abelian 2-form gauge theory. We show that the above CF-type conditions, which turn out to be the secondary constraints of the theory, remain invariant with respect to the time-evolution of the above 2-form gauge system in the Hamiltonian formulation. This time-evolution invariance (i) physically ensures the linear independence of the BRST versus anti-BRST as well as co-BRST versus anti-coBRST symmetry transformations, and (ii) provides a logical reason behind the impostion of the above CF-type restrictions in the proof of the absolute anticommutativity of the off-shell nilpotent (anti-)BRST as well as (anti-)co-BRST symmetry transformations.

引用

页码：6157 / 6176

页数：20

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