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Vacuum stability, wormholes, cosmic rays and the cosmological bounds on m sub t and m sub H

Abstract

In the standard model, if the top quark mass m{sub t} is larger than some critical value depending on the Higgs mass m{sub H}, then we live in an unstable vacuum state corresponding to a local minimum of the effective potential. An experimental discovery of the top quark with m{sub t} above this critical value would invalidate the standard version of the wormhole theory, according to which the vacuum energy should be zero at the absolute minimum of the effective potential. However, unless the top quark is much heavier than this, the lifetime is much heavier than this, the lifetime of the unstable vacuum state is greater than the age of our part of the universe. In this paper we develop a stochastic approach to tunneling and apply it to examine the possibility that cosmic ray collisions may trigger vacuum decay and derive improved cosmological bounds on m{sub H} and m{sub t}. (orig.).
Authors:
Ellis, J; Linde, A; [1]  Sher, M [2] 
  1. European Organization for Nuclear Research, Geneva (Switzerland). Theory Div.
  2. College of William and Mary, Williamsburg, VA (USA). Dept. of Physics
Publication Date:
Dec 13, 1990
Product Type:
Journal Article
Reference Number:
AIX-22-033062; EDB-91-059351
Resource Relation:
Journal Name: Physics Letters, (Section) B; (Netherlands); Journal Volume: 252:2
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COSMOLOGY; METASTABLE STATES; COSMIC RADIATION; DE-EXCITATION; EUCLIDEAN SPACE; HIGGS BOSONS; INSTABILITY; LIFETIME; LIMITING VALUES; MULTIPLE PRODUCTION; PARTICLE INTERACTIONS; POTENTIALS; QUANTUM GRAVITY; QUARKS; REST MASS; SINGULARITY; SPACE-TIME; STABILITY; STANDARD MODEL; STOCHASTIC PROCESSES; TOP PARTICLES; TUNNEL EFFECT; UNIVERSE; VACUUM STATES; ELEMENTARY PARTICLES; ENERGY LEVELS; ENERGY-LEVEL TRANSITIONS; EXCITED STATES; FERMIONS; FIELD THEORIES; INTERACTIONS; IONIZING RADIATIONS; MASS; MATHEMATICAL MODELS; MATHEMATICAL SPACE; PARTICLE MODELS; PARTICLE PRODUCTION; POSTULATED PARTICLES; QUANTUM FIELD THEORY; RADIATIONS; RIEMANN SPACE; SPACE; UNIFIED GAUGE MODELS; 640106* - Astrophysics & Cosmology- Cosmology
OSTI ID:
5974966
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0370-2693; CODEN: PYLBA
Submitting Site:
NLN
Size:
Pages: 203-211
Announcement Date:
May 15, 1991

Citation Formats

Ellis, J, Linde, A, and Sher, M. Vacuum stability, wormholes, cosmic rays and the cosmological bounds on m sub t and m sub H. Netherlands: N. p., 1990. Web. doi:10.1016/0370-2693(90)90862-Z.
Ellis, J, Linde, A, & Sher, M. Vacuum stability, wormholes, cosmic rays and the cosmological bounds on m sub t and m sub H. Netherlands. https://doi.org/10.1016/0370-2693(90)90862-Z
Ellis, J, Linde, A, and Sher, M. 1990. "Vacuum stability, wormholes, cosmic rays and the cosmological bounds on m sub t and m sub H." Netherlands. https://doi.org/10.1016/0370-2693(90)90862-Z.
@misc{etde_5974966,
title = {Vacuum stability, wormholes, cosmic rays and the cosmological bounds on m sub t and m sub H}
author = {Ellis, J, Linde, A, and Sher, M}
abstractNote = {In the standard model, if the top quark mass m{sub t} is larger than some critical value depending on the Higgs mass m{sub H}, then we live in an unstable vacuum state corresponding to a local minimum of the effective potential. An experimental discovery of the top quark with m{sub t} above this critical value would invalidate the standard version of the wormhole theory, according to which the vacuum energy should be zero at the absolute minimum of the effective potential. However, unless the top quark is much heavier than this, the lifetime is much heavier than this, the lifetime of the unstable vacuum state is greater than the age of our part of the universe. In this paper we develop a stochastic approach to tunneling and apply it to examine the possibility that cosmic ray collisions may trigger vacuum decay and derive improved cosmological bounds on m{sub H} and m{sub t}. (orig.).}
doi = {10.1016/0370-2693(90)90862-Z}
journal = []
volume = {252:2}
journal type = {AC}
place = {Netherlands}
year = {1990}
month = {Dec}
}