The massive Klein–Gordon field coupled to a harmonic oscillator at the boundary

George, A.

doi:10.1088/0305-4470/38/33/013

Cited by 6 publications

(6 citation statements)

References 23 publications

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“…which matches the resonance condition found by George [15] for the case of a Minkowski brane in a Minkowski bulk (with an appropriate change of notation ρ 2 → ρ 2 + m 2 and choice of branch −ρ 2 = −iρ).…”

Section: (4)]supporting

confidence: 84%

“…Our linearly coupled brane and bulk perturbations about a de Sitter brane may be seen as a simplified model of perturbations in the inflaton field driving slow-roll inflation on a brane which are linearly coupled to scalar metric * Electronic address: antonio.cardoso@port.ac.uk † Electronic address: kazuya.koyama@port.ac.uk ‡ Electronic address: andrew.mennim@port.ac.uk § Electronic address: sanjeev.seahra@port.ac.uk ¶ Electronic address: david.wands@port.ac.uk perturbations in the bulk [12,13,14]. Linearly coupled brane and bulk fields on a Minkowski brane have been previously studied in a Minkowski bulk [15,16] and in an anti-de Sitter (AdS) bulk [16]. In a Minkowksi bulk there is always one and only one bound state, and above a critical coupling the bound state describes a tachyonic instability [15].…”

Section: Introductionmentioning

confidence: 99%

“…Linearly coupled brane and bulk fields on a Minkowski brane have been previously studied in a Minkowski bulk [15,16] and in an anti-de Sitter (AdS) bulk [16]. In a Minkowksi bulk there is always one and only one bound state, and above a critical coupling the bound state describes a tachyonic instability [15]. In an AdS bulk one finds again a tachyonic bound state above a critical coupling, but below the critical coupling there is no bound state [16].…”

Section: Introductionmentioning

confidence: 99%

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Coupled bulk and brane fields about a de Sitter brane

et al. 2007

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We consider the evolution of a bulk scalar field in anti-de Sitter (AdS) spacetime linearly coupled to a scalar field on a de Sitter boundary brane. We present results of a spectral analysis of the system, and find that the model can exhibit both bound and continuum resonant modes. We find that zero, one, or two bound states may exist, depending upon the masses of the brane and bulk fields relative to the Hubble length and the AdS curvature scale and the coupling strength. In all cases, we find a critical coupling above which there exists a tachyonic bound state. We show how the 5-dimensional spectral results can be interpreted in terms of a 4-dimensional effective theory for the bound states. We find excellent agreement between our analytic results and the results of a new numerical code developed to model the evolution of bulk fields coupled to degrees of freedom on a moving brane. This code can be used to model the behaviour of braneworld cosmological perturbations in scenarios for which no analytic results are known.

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Section: (4)]supporting

confidence: 84%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Coupled bulk and brane fields about a de Sitter brane

et al. 2007

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“…The quantum theory is determined by the classical modes. For d = 0, bulk −∞ < η < 0, brane position η = 0, conjugate momentum π(η, t), the action S leads to a hamiltonian [13] …”

Section: A Features Of the Modelmentioning

confidence: 99%

D-foam-induced flavor condensates and breaking of supersymmetry in free Wess-Zumino fluids

Mavromatos

Sarkar²,

Tarantino

2011

Phys. Rev. D

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Recently [1,2], we argued that a particular model of string-inspired quantum space-time foam (D-foam) may induce oscillations and mixing among flavoured particles. As a result, rather than the mass-eigenstate vacuum, the correct ground state to describe the underlying dynamics is the flavour vacuum, proposed some time ago by Blasone and Vitiello as a description of quantum field theories with mixing. At the microscopic level, the breaking of target-space supersymmetry is induced in our space-time foam model by the relative transverse motion of brane defects. Motivated by these results, we show that the flavour vacuum, introduced through an inequivalent representation of the canonical (anti-) commutation relations, provides a vehicle for the breaking of supersymmetry (SUSY) at a low-energy effective field theory level; on considering the flavour-vacuum expectation value of the energy-momentum tensor and comparing with the form of a perfect relativistic fluid, it is found that the bosonic sector contributes as dark energy while the fermion contribution is like dust. This indicates a strong and novel breaking of SUSY, of a non-perturbative nature, which may characterize the low energy field theory of certain quantum gravity models.

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“…Remarkably little work seems to have been done to investigate the quantum field theory of a boundary (brane) field coupled to a higher-dimensional (bulk) field. Recently George [54] considered a linear oscillator in flat spacetime linearly coupled to another linear oscillator on its boundary. Above a critical coupling one finds an instability corresponding to a discrete tachyonic bound state.…”

Section: Quantum Fluctuations On the Branementioning

confidence: 99%