Goldstone excitations from spinodal instability

Borsányi, Szabolcs; Patkós, A.; Sexty, Dénes

doi:10.1103/physrevd.66.025014

Cited by 18 publications

(11 citation statements)

References 22 publications

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“…It can be expected that this will modify the quantum back reaction in an essential way. While this goes beyond the scope of the present investigation, there are some studies using classical dynamics with more realistic Higgs sectors [15,16,19]. Our formalism allows for a generalization towards more realistic Higgs sectors, albeit with the limitation of homogeneous background fields.…”

Section: Discussionmentioning

confidence: 99%

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Out-of-equilibrium evolution of quantum fields in the hybrid model with quantum back reaction

Baacke¹,

Heinen²

2004

Phys. Rev. D

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The hybrid model with a scalar "inflaton" field coupled to a "Higgs" field with a broken symmetry potential is one of the promising models for inflation and (p)reheating after inflation. We consider the nonequilibrium evolution of the quantum fields of this model with quantum back reaction in the Hartree approximation, in particular the transition of the Higgs field from the metastable "false vacuum" to the broken symmetry phase. We have performed the renormalization of the equations of motion, of the gap equations and of the energy density, using dimensional regularization. We study the influence of the back reaction on the evolution of the classical fields and of the quantum fluctuations. We observe that back reaction plays an important role over a wide range of parameters. Some implications of our investigation for the preheating stage after cosmic inflation are presented.

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Section: Discussionmentioning

confidence: 99%

“…This period has many interesting aspects and has received a wide attention [5,6,7,8,9,10,11,12,13,14,15,16,17,18,19]. For this period it is a reasonable approximation to neglect the coupling to gravity and the expansion of the universe.…”

Section: Introductionmentioning

confidence: 99%

Out-of-equilibrium evolution of quantum fields in the hybrid model with quantum back reaction

Baacke¹,

Heinen²

2004

Phys. Rev. D

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“…This repulsive interaction leads to a tachyon solution involving the so-called spinodal instability dividing the heat propagation into two parts: wave-like and diffusive. (The effect of spinodal instability is very important and often found in the modern field theories [36,37].) Moreover, the study of thermal energy propagation from the slow heat conduction to the fast heat propagation clearly shows the existence of a dynamical phase transition [34,38].…”

Section: Introductionmentioning

confidence: 98%

“…The second equation pertains to the well-known classical Fourier's heat equation. By the examination of the dispersion relations it has been shown in details that this Klein-Gordon equation involves a spinodal instability, a dynamical phase transition between the wave-like and the purely dissipative thermal energy transition in the system [34,36,37], i.e., the classical Fourier heat conduction is involved as natural limit. The further calculations and results [38]-coupling this Lorentz invariant field with other physical fields-prove that the Lorentz invariant temperature in (3) can be considered as a really dynamical temperature.…”

Section: Introductionmentioning

confidence: 99%

Wheeler Propagator of the Lorentz Invariant Thermal Energy Propagation

Márkus

Gambár

2010

Int J Theor Phys

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Two decades ago it was made the first steps to establish a really Hamiltonian description of field theory of dissipative transport processes in order to apply all of the tools of modern field theories for these kind of processes. The great breakthrough was to introduce such scalar potential fields for the measurable quantities-temperature, pressure, etc.-, by which the complete Lagrangian-Hamiltonian formalism could be developed. Later it has been managed to create the differential equation for the relativistic invariant heat propagation by the help of the scalar field, which field can generate a dynamical temperature immediately. In the present paper it is focused on a farther step in the Lorentz invariant thermal energy propagation. Now, the temperature field satisfies a covariant field equation of a (wave-like) thermal energy propagation with finite speed-less than the speed of light. In our previous works the connection has been clarified between this scalar field and the usual local equilibrium temperature including the classical Fourier's heat conduction. The existence of a dynamical phase transition between the two kinds of propagation, between a wave and a non-wave, i.e., a dynamical phase transition between a non-dissipative and a dissipative thermal process is also found. Presently, it is pointed out that the so-called Wheeler propagator can be obtained without any difficulty for this process inspite of the existence of the dynamical phase transition and it can be seen that the causality condition is completed at the same time.

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“…Here we consider the model in the context of preheating after inflation, and not inflation itself. This period has many interesting aspects and has received a wide attention [5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22]. The hybrid model may arise naturally in the context of supersymmetry and supergravity [23,4,11,13,6,7,9].…”

Section: Introductionmentioning

confidence: 99%

Quantum back-reaction of the superpartners in a large-Nsupersymmetric hybrid model

Baacke¹,

Kevlishvili²,

Pruschke³

2007

J. Cosmol. Astropart. Phys.

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We study the supersymmetric hybrid model near and after the end of inflation. As usual, we reduce the model to a purely scalar hybrid model on the level of the classical fields. But on the level of quantum fluctuations and their backreaction we take into account all superpartners of the waterfall field in a large-N approximation. The evolution after slow roll displays two phases with a different characteristic behaviour of the classical and fluctuation fields. We find that the fluctuations of the pseudoscalar superpartner are of particular importance in the late time phase. The motion of the waterfall field towards its classical expectation value is found to be very slow and suggests a rather flat potential and a stochastic force.

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Goldstone excitations from spinodal instability

Cited by 18 publications

References 22 publications

Out-of-equilibrium evolution of quantum fields in the hybrid model with quantum back reaction

Out-of-equilibrium evolution of quantum fields in the hybrid model with quantum back reaction

Wheeler Propagator of the Lorentz Invariant Thermal Energy Propagation

Quantum back-reaction of the superpartners in a large-Nsupersymmetric hybrid model

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