Gelfand-Yaglom formula for functional determinants in higher dimensions

Ossipov, A.

doi:10.48550/arxiv.1808.02807

Search citation statements

Order By: Relevance

Paper Sections

Select...

B Negative Modes1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

Publication Types

Select...

Other1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The spectral zeta function corresponding to an operator like O is given by [26][27][28][29][30][31][32][33][34]…”

Section: B Negative Modesmentioning

confidence: 99%

Frictionless UV-finite Instantons in Curved Spacetime

Hijazi¹,

Pilaftsis²

2022

Preprint

View full text Add to dashboard Cite

We identify a new class of UV-complete instanton solutions that describe the false vacuum decay of a real scalar field in a particular curved spacetime background. To this end, we consider a simple scalar theory with a Coleman potential and calculate the Euclidean action S E by assuming an O(4)-symmetric curved spacetime. The function a(r) dictating the geometry of spacetime may consistently be chosen to be a constant, thereby eliminating the drag forces from the equations of motion and ensuring that the gravitational backgrounds of both the false vacuum and bounce solutions are identical. By employing standard WKB and Gelfand-Yaglom methods, we compute the corresponding prefactor due to quantum fluctuations around this frictionless bounce solution which becomes UV finite after renormalization. The possible consequences of such frictionless UV-finite instantons are discussed.

show abstract

“…The spectral zeta function corresponding to an operator like O is given by [26][27][28][29][30][31][32][33][34]…”

Section: B Negative Modesmentioning

confidence: 99%