Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/2699
Title: General tensor Lagrangians from the gravitational Higgs mechanism
Authors: Demir, Durmuş Ali
Pak, Namık Kemal
Keywords: Modified theories of gravity
Lagrangian mechanics
Higgs mechanism
Spontaneous and radiative symmetry breaking
Issue Date: Apr-2009
Publisher: IOP Publishing Ltd.
Source: Demir, D. A., and Pak, N. K. (2009). General tensor Lagrangians from the gravitational Higgs mechanism. Classical and Quantum Gravity, 26(10). doi:10.1088/0264-9381/26/10/105018
Abstract: The gravitational Higgs mechanism proposed by 't Hooft in arXiv:0708.3184 involves the spacetime metric gμv as well as the induced metric ḡμν oc ηab∂μΦ a∂νφb where φ(a = 0,..., 3), as we call it, break all four diffeomorphisms spontaneously via the vacuum expectation values (φa) ∝ xa. In this framework, we construct and analyze the most general action density in terms of various invariants involving the curvature tensors, connexion coefficients, and the contractions and the determinants of the two metric fields. We show that this action admits a consistent expansion about the flat background such that the resulting Lagrangian possesses several novel features not found in the linearized Einstein-Hilbert Lagrangian with FierzPauli mass term (LEHL-FP): (i) its kinetic part generalizes that of LELHL-FP by weighing the corresponding structures with certain coefficients generated by invariants, (ii) the entire Lagrangian is ghost- and tachyon-free for mass terms not necessarily in the Fierz-Pauli form, and, (iii) a consistent mass term is generated with no apparent need to higher derivative couplings.
URI: http://dx.doi.org/10.1088/0264-9381/26/10/105018
http://hdl.handle.net/11147/2699
ISSN: 0264-9381
0264-9381
Appears in Collections:Physics / Fizik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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