Fetching the paper…

Reading the bibliography…

2016

O($N$) Invariance of the Multi-Field Bounce

Blum, Kfir, Honda, Masazumi, Sato, Ryosuke et al.

Original
PDF
Post on X

Understand

In his 1977 paper on vacuum decay in field theory: The Fate of the False Vacuum, Coleman considered the problem of a single scalar field and assumed that the minimum action tunnelling field configuration, the bounce, is invariant under O(4) rotations in Euclidean space.

A proof of the O(4) invariance of the bounce was provided later by Coleman, Glaser, and Martin (CGM), who extended the proof to $N>2$ Euclidean dimensions but, again, restricted non-trivially to a single scalar field.
As far as we know a proof of O($N$) invariance of the bounce for the tunnelling problem with multiple scalar fields has not been reported, even though it was assumed in many works since, being of phenomenological interest.
We make progress towards closing this gap.

O($N$) Invariance of the Multi-Field Bounce · Around

Built on

G. H. Derrick, “Comments on nonlinear wave equations as models for elementary particles,” J. Math. Phys
1964
Earlier work this paper cites.
S. R. Coleman, “The Fate of the False Vacuum. 1. Semiclassical Theory,” Phys. Rev
1977
Earlier work this paper cites.
S. R. Coleman, V. Glaser, and A. Martin, “Action Minima Among Solutions to a Class of Euclidean Scalar Field Equations,” Commun. Math. Phys
1978
Earlier work this paper cites.
H. Brezis and E. H. Lieb, “Minimum action solutions of some vector field equations,” Comm. Math. Phys
1984
Earlier work this paper cites.
M. Sher, “Electroweak Higgs Potentials and Vacuum Stability,” Phys. Rept
1989
Earlier work this paper cites.

Similar

A. Kusenko, “Tunneling in quantum field theory with spontaneous symmetry breaking,” Phys. Lett
1995
Cited alongside, same era.
A. Kusenko, P. Langacker, and G. Segre, “Phase transitions and vacuum tunneling into charge and color breaking minima in the MSSM,” Phys. Rev
1996
Cited alongside, same era.
O. Lopes, “Radial symmetry of minimizers for some translation and rotation invariant functionals,” Journal of Differential Equations
1996
Cited alongside, same era.
A. Kusenko, K.-M. Lee, and E. J. Weinberg, “Vacuum decay and internal symmetries,” Phys. Rev
1997
Cited alongside, same era.
K. R. Dienes and B. Thomas, “Cascades and Collapses, Great Walls and Forbidden Cities: Infinite Towers of Metastable Vacua in Supersymmetric Field Theories,” Phys. Rev
Original
2009
Cited alongside, same era.
A. Andreassen, D. Farhi, W. Frost, and M. D. Schwartz, “Precision decay rate calculations in quantum field theory,” arXiv:1604.06090 [hep-th]
Original
Cited in the paper.
J. Byeon, L. Jeanjean, and M. Maris, “Symmetry and monotonicity of least energy solutions,” arXiv:0806.0299 [math.AP]
Original
Cited in the paper.

Then

B. Greene, D. Kagan, A. Masoumi, D. Mehta, E. J. Weinberg, and X. Xiao, “Tumbling through a landscape: Evidence of instabilities in high-dimensional moduli spaces,” Phys. Rev
Original
2013
Later among the works it cites.
A. Aravind, D. Lorshbough, and S. Paban, “Lower bound for the multifield bounce action,” Phys. Rev
Original
2014
Later among the works it cites.
A. Aravind, B. S. DiNunno, D. Lorshbough, and S. Paban, “Analyzing multifield tunneling with exact bounce solutions,” Phys. Rev
Original
2015
Later among the works it cites.
M. Dine and S. Paban, “Tunneling in Theories with Many Fields,” JHEP
Original
2015
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…