Transactions in Theoretical and Mathematical Physics

Transactions in Theoretical and Mathematical Physics

Metastable de Sitter Vacua from Critical Scalar Theory

Document Type : Original Article

Authors
Farhang Loran 1
Ehsan Bavarsad 2
1 Isfahan University of Technology
2 Department of Physics, University of Kashan, 8731753153 Kashan, Iran
10.30511/ttmp.2026.2089573.1078
Abstract
Studying the critical scalar theory in four dimensional Euclidean

space with the potential term -g\phi^4 we show that the theory

can not be analytically continued through g=0 from g<0 region to g>0

region. For g>0 although energy is not bounded from below but there exist a

classical trajectory with an AdS_5 moduli space,

corresponding to a metastable local minima of the action.

The fluctuation around this solution is governed by a minimally coupled scalar theory

on four dimensional de~Sitter background with a reversed Mexican hat potential.

Since in the weak coupling limit, the partition function

picks up contribution only around classical solutions, one can assume

that our de Sitter universe corresponds to that local minima which lifetime increases

exponentially as the coupling constant tends to zero. Similar results is obtained in

the case of critical scalar theory coupled to U(1) gauge field which is essential

for people living on flat Euclidean space to observe a de Sitter background by optical

instruments.
Keywords
critical scalar theory
de Sitter vacua
Subjects
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Transactions in Theoretical and Mathematical Physics
Volume 3, Issue 2
Spring 2026
Pages 54-58

  • Receive Date 24 April 2026
  • Accept Date 05 May 2026
  • First Publish Date 05 May 2026
  • Publish Date 01 May 2026