Quantum equivalence between the self-dual and the Maxwell–Chern–Simons models nonlinearly coupled to<i>U</i>(1) scalar fields

Dalmazi, D.; Mendonça, E. L.

doi:10.1088/0305-4470/39/29/025

Cited by 5 publications

(12 citation statements)

References 23 publications

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“…We can use the Fierz-Pauli mass term, the CS 1 term or the Chern-Simons term of third order which is a quadratic truncation of a gravitational Chern-Simons term, see (1), (17) and (25) respectively. In the spin one case (parity singlet) we have two possible mass terms, i.e., the first order Chern-Simons term and the Proca term which appears in the first order self-dual model of [11].…”

Section: Generalized Self-dual Model Of Spin Two and Its Dualmentioning

confidence: 99%

“…Since this is trivially satisfied it will hold also after coupling to other fields. In particular, in [17], we have coupled the self-dual model to charged scalar fields by using an arbitrary constant "a" as follows:…”

Section: Sd (H) To Smentioning

confidence: 99%

“…In particular, in [17], we have coupled the self-dual model to charged scalar fields by using an arbitrary constant "a" as follows:…”

Section: Introductionmentioning

confidence: 99%

“…SD is a gauge theory invariant under δA αβ = ∂ α ξ β . The first term in (17) is the analogue of the Maxwell term in the MCS theory and corresponds exactly to the quadratic approximation of the Einstein-Hilbert action, see (8), with its usual sign.…”

Section: Introductionmentioning

confidence: 99%

“…SD is a perfectly acceptable classical description of such particle. It is amazing that although each of the terms in (17) has no particle content, when they are put together they describe a massive particle of helicity +2.…”

Section: Introductionmentioning

confidence: 99%

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Dual descriptions of spin-two massive particles inD=2+1via master actions

Dalmazi

Mendonça

2009

Phys. Rev. D

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In the first part of this work we show the decoupling (up to contact terms) of redundant degrees of freedom which appear in the covariant description of spin two massive particles in D = 2 + 1. We make use of a master action which interpolates, without solving any constraints, between a first, second and third order (in derivatives) self-dual model. An explicit dual map between those models is derived. In our approach the absence of ghosts in the third order self-dual model, which corresponds to a quadratic truncation of topologically massive gravity, is due to the triviality (no particle content) of the Einstein-Hilbert action in D = 2 + 1. In the second part of the work, also in D = 2 + 1, we prove the quantum equivalence of the gauge invariant sector of a couple of self-dual models of opposite helicities (+2 and −2) and masses m + and m − to a generalized self-dual model which contains a quadratic Einstein-Hilbert action, a Chern-Simons term of first order and a Fierz-Pauli mass term. The use of a first order Chern-Simons term instead of a third order one avoids conflicts with the sign of the Einstein-Hilbert action.

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Section: Generalized Self-dual Model Of Spin Two and Its Dualmentioning

confidence: 99%

Section: Sd (H) To Smentioning

confidence: 99%

“…In particular, in [17], we have coupled the self-dual model to charged scalar fields by using an arbitrary constant "a" as follows:…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%