TY - JOUR

T1 - Gauge theory on fiber bundle of hypercomplex algebras

AU - Jang, Hun

N1 - Funding Information: H.J. was supported by a James Arthur Graduate Associate (JAGA) Fellowship from Center for Cosmology and Particle Physics in Department of Physics at New York University at the beginning of this work, and also supported by a Riemann Fellowship from Riemann Center for Geometry and Physics at Leibniz University Hannover. H.J. would like to thank the Institute for Theoretical Physics at the Riemann Center for its kind hospitality at the completion of this work.

PY - 2023/8

Y1 - 2023/8

N2 - I introduce a way of constructing a fiber bundle whose fibers are given by hypercomplex algebras and woven by appropriate structure group, and present that a novel gauge theory can be built on the hypercomplex fiber bundle. In this work, I aim to answer a question about how nature selects one preferred vacuum among degenerate physical vacua, called vacuum selection problem. In the end, I found presence of the impenetrable domain wall that prohibits phase transition between the two vacua. To be specific, I found that in this theory, one particular vacuum between two degenerate physical vacua for Higgs-like scalar potential can be dynamically chosen with priority due to intrinsic even parity of both a scalar field and its vacuum under a Z2 symmetry, even though its scalar potential is given to be Z2-symmetric under both odd- and even-parity transformations of the scalar field. This means that the vacuum selection problem can be resolved in this gauge theory. I suggest that this work may be a gateway to addressing the theoretical origin of the true physical vacuum that nature takes.

AB - I introduce a way of constructing a fiber bundle whose fibers are given by hypercomplex algebras and woven by appropriate structure group, and present that a novel gauge theory can be built on the hypercomplex fiber bundle. In this work, I aim to answer a question about how nature selects one preferred vacuum among degenerate physical vacua, called vacuum selection problem. In the end, I found presence of the impenetrable domain wall that prohibits phase transition between the two vacua. To be specific, I found that in this theory, one particular vacuum between two degenerate physical vacua for Higgs-like scalar potential can be dynamically chosen with priority due to intrinsic even parity of both a scalar field and its vacuum under a Z2 symmetry, even though its scalar potential is given to be Z2-symmetric under both odd- and even-parity transformations of the scalar field. This means that the vacuum selection problem can be resolved in this gauge theory. I suggest that this work may be a gateway to addressing the theoretical origin of the true physical vacuum that nature takes.

UR - http://www.scopus.com/inward/record.url?scp=85162734274&partnerID=8YFLogxK

U2 - 10.48550/arXiv.2303.08159

DO - 10.48550/arXiv.2303.08159

M3 - Article

AN - SCOPUS:85162734274

VL - 993

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

M1 - 116281

ER -