Fluctuation corrections to bubble nucleation

Abstract

The fluctuation determinant which determines the preexponential factor of the transition rate for minimal bubbles is computed for the electroweak theory with $\sin {\Theta }_W=0$. As the basic action we use the three-dimensional high-temperature action including, besides temperature dependent masses, the $T{\Phi }^3$ one-loop contribution which makes the phase transition first order. The results show that this contribution (which has then to be subtracted from the exact result) gives the dominant contribution to the one-loop effective action. The remaining correction is of the order of, but in general larger than the critical bubble action and suppresses the transition rate. The results for the Higgs field fluctuations are compared with those of an approximate heat kernel computation of Kripfganz et al., good agreement is found for small bubbles, strong deviations for large thin-wall bubbles.

19 pages, LaTeX, no macros, no figures

References in corpus (9)

• Progress in Electroweak Baryogenesis
• Towards the Theory of Cosmological Phase Transitions
• Quantum Fluctuations around the Electroweak Sphaleron
• One-Loop Corrections to Bubble Nucleation Rate at Finite Temperature
• Quantum fluctuations of the electroweak sphaleron: Erratum and Addendum
• Critical Bubbles and Fluctuations at the Electroweak Phase Transition
• Loop corrections to the sphaleron transition rate in the minimal standard model
• Sphaleron Effects Near the Critical Temperature
• The Fermion Determinant in External Scalar Fields: Exact Results and Large Mass Approximation

Cited by in corpus (26)

• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Turning Around the Sphaleron Bound: Electroweak Baryogenesis in an Alternative Post-inflationary Cosmology
• Electroweak Bubble Nucleation, Nonperturbatively
• Two Higgs doublet dynamics at the electroweak phase transition: a non-perturbative study
• Gravitational waves from conformal symmetry breaking
• Was the Electroweak Phase Transition Preceded by a Color-Broken Phase?
• Nonequilibrium dynamics: a renormalized computation scheme
• One-loop corrections to the metastable vacuum decay
• BubbleDet: A Python package to compute functional determinants for bubble nucleation
• A Consistent Calculation of Bubble-Nucleation Rates
• Equation of state and coarse grained free energy for matrix models
• One-Loop Quantum Energy Densities of Domain Wall Field Configurations
• Vacuum decay and internal symmetries
• Bubble-nucleation rates for radiatively induced first-order phase transitions
• Gauge invariance of the one-loop effective action of the Higgs field in the SU(2) Higgs model
• Self-consistent treatment of bubble nucleation at the electroweak phase transition
• Nonequilibrium evolution and symmetry structure of the large-N ${\Phi }^4$ model at finite temperature
• Dynamical Viscosity of Nucleating Bubbles
• One-loop corrections to the instanton transition in the Abelian Higgs model: Gel'fand-Yaglom and Green's function methods
• Testing nucleation theory in two dimensions
• Comparison of two methods for calculating nucleation rates
• Self-consistent bounces in two dimensions
• Effective action for bubble nucleation rates
• Fermionic fluctuation corrections to bubble nucleation
• Bubble Trouble: a Review on Electroweak Baryogenesis
• An application of the renormalization group to the calculation of the vacuum decay rate in flat and curved space-time