Strong dissipative behavior in quantum field theory

Berera, Arjun; Gleiser, Marcelo; Ramos, Rudnei O.

doi:10.1103/physrevd.58.123508

Cited by 242 publications

(469 citation statements)

References 62 publications

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“…Some examples are found in [4,5,6,7,8,9,10], [11,12,13,14,15,18]. Some works have already been done concerning the dynamics of non homogeneous configuration in bosonic fields.…”

Section: Introductionmentioning

confidence: 99%

“…It is well known that these thermal fluctuations for the asymmetric phase may restore the symmetry: the vacuum solution of the condensate 5 φ 0 tends to become zero as temperature increases. At very high temperatures (T >> µ) the integral (12) in one spatial dimension can be expanded and the second expression of (10) can be written in one spatial dimension as:…”

Section: Vacuum and Renormalizationmentioning

confidence: 99%

“…These equations were generalized for the out of equilibrium (non zero temperature) using different methods in [4,10,12,19,21] and they were studied extensively mainly by means of numerical calculations. The choice of initial conditions is entirely subordinate to the approximation, in the sense that were it not Gaussian one might have to consider three conditions instead of two [23].…”

Section: Gaussian Approximationmentioning

confidence: 99%

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Expanding nonhomogeneous configurations of theλφ4model

Braghin

2001

Phys. Rev. D

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A time dependent variational approach is considered to derive the equations of movement for the λφ 4 model. The temporal evolution of the model is performed numerically in the frame of the Gaussian approximation in a lattice of 1+1 dimensions given non homogeneous initial conditions (like bubbles) for the classical and quantum parts of the field which expands. A schematic model for the initial conditions is presented considering the model at finite fermionic density. The non zero fermionic density may lead either to the restoration of the symmetry or to an even more asymmetric phase. Both kinds of situations are considered as initial conditions and the eventual differences in early time dynamics are discussed.In the early time evolution there is strong energy exchange between the classical and quantum parts of the field as the initial configuration expands. The contribution of the quantum fluctuations is discussed especially in the strong coupling constant limit. The continuum limit is analyzed.

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“…Some examples are found in [4,5,6,7,8,9,10], [11,12,13,14,15,18]. Some works have already been done concerning the dynamics of non homogeneous configuration in bosonic fields.…”

Section: Introductionmentioning

confidence: 99%

Section: Vacuum and Renormalizationmentioning

confidence: 99%

Section: Gaussian Approximationmentioning

confidence: 99%

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Expanding nonhomogeneous configurations of theλφ4model

Braghin

2001

Phys. Rev. D

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“…This produces heat and viscosity, which make the inflationary phase last longer. Warm inflation models were introduced and developed by Berera and coworkers [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. However, even earlier inflation models with dissipation of inflaton energy to radiation and particles had been considered [15][16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Warm Inflation

Grøn

2016

Universe

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I show here that there are some interesting differences between the predictions of warm and cold inflation models focusing in particular upon the scalar spectral index n s and the tensor-to-scalar ratio r. The first thing to be noted is that the warm inflation models in general predict a vanishingly small value of r. Cold inflationary models with the potential V = M 4 (φ/M P ) p and a number of e-folds N = 60 predict δ nsC ≡ 1 − n s ≈ (p + 2) /120, where n s is the scalar spectral index, while the corresponding warm inflation models with constant value of the dissipation parameter Γ predict δ nsW = [(20 + p) / (4 + p)] /120. For example, for p = 2 this gives δ nsW = 1.1δ nsC . The warm polynomial model with Γ = V seems to be in conflict with the Planck data. However, the warm natural inflation model can be adjusted to be in agreement with the Planck data. It has, however, more adjustable parameters in the expressions for the spectral parameters than the corresponding cold inflation model, and is hence a weaker model with less predictive force. However, it should be noted that the warm inflation models take into account physical processes such as dissipation of inflaton energy to radiation energy, which is neglected in the cold inflationary models.

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“…While in all the previous works on chaotic dynamics of fields dealt with (conservative) Hamiltonian systems, here we will be mainly concerned with the effective field evolution equations, which are known to be intrinsically dissipative [3][4][5][6][7][8][9] and, therefore, the dynamical system we will be studying is non-Hamiltonian.…”

Section: Introductionmentioning

confidence: 99%

Chaotic symmetry breaking and dissipative two-field dynamics

Ramos

Navarro

2000

Phys. Rev. D

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The dynamical symmetry breaking in a two-field model is studied by numerically solving the coupled effective field equations. These are dissipative equations of motion that can exhibit strong chaotic dynamics. By choosing very general model parameters leading to symmetry breaking along one of the field directions, the symmetry broken vacua make the role of transitory strange attractors and the field trajectories in phase space are strongly chaotic. Chaos is quantified by means of the determination of the fractal dimension, which gives an invariant measure for chaotic behavior. Discussions concerning chaos and dissipation in the model and possible applications to related problems are given.

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Strong dissipative behavior in quantum field theory

Abstract: We study the conditions under which an overdamped regime can be attained in the dynamic evolution of a quantum field configuration. Using a *

Cited by 242 publications

References 62 publications

Expanding nonhomogeneous configurations of theλφ4model

Expanding nonhomogeneous configurations of theλφ4model

Warm Inflation

Chaotic symmetry breaking and dissipative two-field dynamics

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