Bounce Configuration from Gradient Flow

Abstract

Based on the gradient flow, we propose a new method to determine the bounce configuration for false vacuum decay. Our method is applicable to a large class of models with multiple fields. Since the bounce is a saddle point of an action, a naive gradient flow method which minimizes the action does not work. We point out that a simple modification of the flow equation can make the bounce its stable fixed point while the false vacuum configuration an unstable one. Consequently, the bounce configuration can be obtained simply by following the flow without a careful choice of an initial configuration. With numerical analysis, we confirm the validity of our claim, checking that the flow equation we propose indeed has solutions that flow into the bounce configuration.

arXiv comment6 pages, 2 figures; published version

References in corpus (16)

• CosmoTransitions: Computing Cosmological Phase Transition Temperatures and Bubble Profiles with Multiple Fields
• On the metastability of the Standard Model vacuum
• Phase Transitions and Vacuum Tunneling Into Charge and Color Breaking Minima in the MSSM
• Scale Invariant Instantons and the Complete Lifetime of the Standard Model
• Bubbles in the supersymmetric standard model
• Efficient numerical solution to vacuum decay with many fields
• State-of-the-Art Calculation of the Decay Rate of Electroweak Vacuum in Standard Model
• Was the Electroweak Phase Transition Preceded by a Color-Broken Phase?
• Decay Rate of Electroweak Vacuum in the Standard Model and Beyond
• A Fresh Look at the Calculation of Tunneling Actions
• Bubble Wall Profiles With More Than One Scalar Field: A Numerical Approach
• Improved Action Method for Analysing Tunneling in Quantum Field Theory
• Semi-analytic techniques for calculating bubble wall profiles
• Estimating Vacuum Tunneling Rates
• String-mediated electroweak baryogenesis: a critical analysis
• Machine learning for bounce calculation

Cited by in corpus (18)

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• BubbleDet: A Python package to compute functional determinants for bubble nucleation
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• Simple Gradient Flow Equation for the Bounce Solution
• False vacuum decay rates, more precisely
• Instanton solution for Schwinger production of 't Hooft-Polyakov monopoles
• The Electroweak Sphaleron in a strong magnetic field
• Optimisation based algorithm for finding the action of cosmological phase transitions
• Obtaining the sphaleron field configurations with gradient flow
• Q-Balls in the presence of attractive force
• $Z_3$ meta-stable states in PNJL model
• Quartic Gradient Flow
• Vacuum decay and quadratic gravity: the massive case
• Vacuum decay in quadratic gravity
• Perturbative analysis of the Wess-Zumino flow
• Gradient-flowed order parameter for spontaneous gauge symmetry breaking
• Upper bound on the smuon mass from vacuum stability in the light of muon $g-2$ anomaly
• Fate of false vacuum in non-perturbative regimes: Gravity effects