We use dimensional regularization to evaluate quantum mechanical path integrals in arbitrary curved spaces on an infinite time interval. We perform 3-loop calculations in Riemann normal coordinates, and 2-loop calculations in general coordinates. It is shown that one only needs a covariant two-loop counterterm (V_{DR} = R/8) to obtain the same results as obtained earlier in other regularization schemes. It is also shown that the mass term needed in order to avoid infrared divergences explicitly breaks general covariance in the final result.

Dimensional regularization of the path integral in curved space on an infinite time interval / Bastianelli, F; Corradini, Olindo; Van Nieuwenhuizen, P.. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - B490 (2000):(2000), pp. 154-162. [10.1016/S0370-2693(00)00978-3]

Dimensional regularization of the path integral in curved space on an infinite time interval

CORRADINI, Olindo;
2000

Abstract

We use dimensional regularization to evaluate quantum mechanical path integrals in arbitrary curved spaces on an infinite time interval. We perform 3-loop calculations in Riemann normal coordinates, and 2-loop calculations in general coordinates. It is shown that one only needs a covariant two-loop counterterm (V_{DR} = R/8) to obtain the same results as obtained earlier in other regularization schemes. It is also shown that the mass term needed in order to avoid infrared divergences explicitly breaks general covariance in the final result.
2000
B490 (2000)
154
162
Dimensional regularization of the path integral in curved space on an infinite time interval / Bastianelli, F; Corradini, Olindo; Van Nieuwenhuizen, P.. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - B490 (2000):(2000), pp. 154-162. [10.1016/S0370-2693(00)00978-3]
Bastianelli, F; Corradini, Olindo; Van Nieuwenhuizen, P.
File in questo prodotto:
File Dimensione Formato  
PLB490.pdf

Open access

Descrizione: Articolo principale
Tipologia: Versione pubblicata dall'editore
Dimensione 139.11 kB
Formato Adobe PDF
139.11 kB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

Licenza Creative Commons
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1074785
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 31
  • ???jsp.display-item.citation.isi??? 25
social impact