Details
| Original language | English |
|---|---|
| Article number | 159 |
| Journal | Journal of high energy physics |
| Volume | 2019 |
| Issue number | 8 |
| Publication status | Published - 28 Aug 2019 |
| Externally published | Yes |
Abstract
A classically scale-invariant 6d analog of the 4d Yang-Mills theory is the 4-derivative (∇F)2 + F 3 gauge theory with two independent couplings. Motivated by a search for a perturbatively conformal but possibly non-unitary 6d models we compute the one-loop β-functions in this theory. A systematic way of doing this using the back-ground field method requires the (previously unknown) expression for the b6 Seeley-DeWitt coefficient for a generic 4-derivative operator; we derive it here. As an application, we also compute the one-loop β-function in the (1,0) supersymmetric (∇F)2 6d gauge theory con-structed in hep-th/0505082.
Keywords
- Field Theories in Higher Dimensions, Supersymmetric Gauge Theory
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 2019, No. 8, 159, 28.08.2019.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - One-loop β-functions in 4-derivative gauge theory in 6 dimensions
AU - Casarin, Lorenzo
AU - Tseytlin, Arkady A.
N1 - Publisher Copyright: © 2019, The Author(s).
PY - 2019/8/28
Y1 - 2019/8/28
N2 - A classically scale-invariant 6d analog of the 4d Yang-Mills theory is the 4-derivative (∇F)2 + F 3 gauge theory with two independent couplings. Motivated by a search for a perturbatively conformal but possibly non-unitary 6d models we compute the one-loop β-functions in this theory. A systematic way of doing this using the back-ground field method requires the (previously unknown) expression for the b6 Seeley-DeWitt coefficient for a generic 4-derivative operator; we derive it here. As an application, we also compute the one-loop β-function in the (1,0) supersymmetric (∇F)2 6d gauge theory con-structed in hep-th/0505082.
AB - A classically scale-invariant 6d analog of the 4d Yang-Mills theory is the 4-derivative (∇F)2 + F 3 gauge theory with two independent couplings. Motivated by a search for a perturbatively conformal but possibly non-unitary 6d models we compute the one-loop β-functions in this theory. A systematic way of doing this using the back-ground field method requires the (previously unknown) expression for the b6 Seeley-DeWitt coefficient for a generic 4-derivative operator; we derive it here. As an application, we also compute the one-loop β-function in the (1,0) supersymmetric (∇F)2 6d gauge theory con-structed in hep-th/0505082.
KW - Field Theories in Higher Dimensions
KW - Supersymmetric Gauge Theory
UR - http://www.scopus.com/inward/record.url?scp=85071592443&partnerID=8YFLogxK
U2 - 10.1007/JHEP08(2019)159
DO - 10.1007/JHEP08(2019)159
M3 - Article
AN - SCOPUS:85071592443
VL - 2019
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1126-6708
IS - 8
M1 - 159
ER -