Symmetry behavior at finite temperature

Dolan, L.; Jackiw, R.

doi:10.1103/physrevd.9.3320

Cited by 2,149 publications

(2,098 citation statements)

References 20 publications

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“…In the section 4, we consider the case in which the mass of scalar field is sufficiently large. In the section 5, we consider the case in the high temperature environment [15], which would be that in the early universe. In both cases the two-loop diagrams are evaluated analytically.…”

Section: Introductionmentioning

confidence: 99%

Effective Potential on Fuzzy Sphere

Huang

2002

J. High Energy Phys.

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The effective potential of quantized scalar field on fuzzy sphere is evaluated to the twoloop level. We see that one-loop potential behaves like that in the commutative sphere and the Coleman-Weinberg mechanism of the radiatively symmetry breaking could be also shown in the fuzzy sphere system. In the two-loop level, we use the heavy-mass approximation and the high-temperature approximation to perform the evaluations. The results show that both of the planar and nonplanar Feynman diagrams have inclinations to restore the symmetry breaking in the tree level. However, the contributions from planar diagrams will dominate over those from nonplanar diagrams by a factor N 2 . Thus, at heavy-mass limit or hightemperature system the quantum field on the fuzzy sphere will behave like those on the commutative sphere. We also see that there is a drastic reduction of the degrees of freedom in the nonplanar diagrams when the particle wavelength is smaller than the noncommutativity scale.

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Section: Introductionmentioning

confidence: 99%

Effective Potential on Fuzzy Sphere

Huang

2002

J. High Energy Phys.

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“…We follow the standard procedure [19] but there is no need to shift the fields here since we work at the origin of the field space. The traces (3.8) expressed in terms of the fields are easily calculated from the superpotential (2.3).…”

Section: Critical Temperaturementioning

confidence: 99%

Finite temperature behaviour of the ISS-uplifted KKLT model

Papineau

2008

J. High Energy Phys.

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We study the static phase structure of the ISS-KKLT model for moduli stabilisation and uplifting to a zero cosmological constant. Since the supersymmetry breaking sector and the moduli sector are only gravitationally coupled, we expect negligible quantum effects of the modulus upon the ISS sector, and the other way around. Under this assumption, we show that the ISS fields end up in the metastable vacua. The reason is not only that it is thermally favoured (second order phase transition) compared to the phase transition towards the supersymmetric vacua, but rather that the metastable vacua form before the supersymmetric ones. This nice feature is exclusively due to the presence of the KKLT sector. We also show that supergravity effects are negligible around the origin of the field space. Finally, we turn to the modulus sector and show that there is no destabilisation effect coming from the ISS sector.0

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“…At finite temperature the potential acquires thermal corrections and, for example at high temperatures [2,6], it (the effective potential) acquires the following form…”

Section: Multi-scalar Field Theory: Looking For Isb and Snrmentioning

confidence: 99%

“…Much work has been done exploring how field theories behave at finite temperature and densities [1][2][3][4]. The study of symmetry breaking (SB) and symmetry restoration (SR) mechanisms have proved to be extremely useful in the analysis of phenomena related to phase transitions in almost all branches of physics [5].…”

Section: Introductionmentioning

confidence: 99%

Different symmetry realizations in relativistic coupled bose systems at finite temperature and densities

2008

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We revisited the calculation of the effective potential for self-interacting scalar field with U (1) charge at one loop approximation. We show that high charge densities can induce important changes in the phase structure of the theory. A class of very interesting phenomena appear when we introduce finite density effects, e.g. symmetry nonrestoration, inverse symmetry breaking and anticipation of the high temperature symmetry restoration. The extension of these calculations in the context of multi-scalar field theory is outlined, with the objectives of studying the effects of a finite charge on the symmetry breaking phase transition, and to learn how these effects change the number of phases allowed by the system symmetries.

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Symmetry behavior at finite temperature

Cited by 2,149 publications

References 20 publications

Effective Potential on Fuzzy Sphere

Effective Potential on Fuzzy Sphere

Finite temperature behaviour of the ISS-uplifted KKLT model

Different symmetry realizations in relativistic coupled bose systems at finite temperature and densities

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