The present work tackles the existence of local gauge symmetries in the setting of Algebraic Quantum Field Theory (AQFT). The net of causal loops, previously introduced by the authors, is a model independent construction of a covariant net of local C*-algebras on any 4-dimensional globally hyperbolic space-time, aimed to capture structural properties of any reasonable quantum gauge theory. Representations of this net can be described by causal and covariant connection systems, and local gauge transformations arise as maps between equivalent connection systems. The present paper completes these abstract results, realizing QED as a representation of the net of causal loops in Minkowski space-time. More precisely, we map the quantum electromagnetic field Fμν, not free in general, into a representation of the net of causal loops and show that the corresponding connection system and the local gauge transformations find a counterpart in terms of Fμν.

Ciolli, F., Ruzzi, G., Vasselli, E. (2015). QED representation for the net of causal loops. REVIEWS IN MATHEMATICAL PHYSICS, 27(5), 1550012 [10.1142/S0129055X15500129].

QED representation for the net of causal loops

CIOLLI, FABIO;RUZZI, GIUSEPPE;
2015-01-01

Abstract

The present work tackles the existence of local gauge symmetries in the setting of Algebraic Quantum Field Theory (AQFT). The net of causal loops, previously introduced by the authors, is a model independent construction of a covariant net of local C*-algebras on any 4-dimensional globally hyperbolic space-time, aimed to capture structural properties of any reasonable quantum gauge theory. Representations of this net can be described by causal and covariant connection systems, and local gauge transformations arise as maps between equivalent connection systems. The present paper completes these abstract results, realizing QED as a representation of the net of causal loops in Minkowski space-time. More precisely, we map the quantum electromagnetic field Fμν, not free in general, into a representation of the net of causal loops and show that the corresponding connection system and the local gauge transformations find a counterpart in terms of Fμν.
2015
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/05 - ANALISI MATEMATICA
Settore MAT/07 - FISICA MATEMATICA
English
Con Impact Factor ISI
Operator Algebras, Quantum Field Theory, QED, non-Abelian cohomology
http://www.worldscientific.com/doi/10.1142/S0129055X15500129
Ciolli, F., Ruzzi, G., Vasselli, E. (2015). QED representation for the net of causal loops. REVIEWS IN MATHEMATICAL PHYSICS, 27(5), 1550012 [10.1142/S0129055X15500129].
Ciolli, F; Ruzzi, G; Vasselli, E
Articolo su rivista
File in questo prodotto:
File Dimensione Formato  
QED-RMP.pdf

accesso aperto

Licenza: Non specificato
Dimensione 547.2 kB
Formato Adobe PDF
547.2 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/117066
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 7
  • ???jsp.display-item.citation.isi??? 5
social impact