Stability and causality of multi-local theories. (7th February 2018)
- Record Type:
- Journal Article
- Title:
- Stability and causality of multi-local theories. (7th February 2018)
- Main Title:
- Stability and causality of multi-local theories
- Authors:
- Polonyi, Janos
- Abstract:
- Abstract: The regularized theories are non-local at the scale of the cutoff, leading so to the usual difficulties of non-local theories. In this work the conservation laws and causality are investigated for classical field theories with multi-cluster action. The conservation laws are found to play a less significant role than in local theories because due to the non-locality the conserved quantities are not integrals of the motion, and they can exist even without underlying symmetries. Moreover, the conservation of the energy cannot prevent the instability brought about by the unbounded nature of the energy from below. Hence a sufficient condition of stability is lost. Theories, obtained by appropriate point splitting of local interactions are shown to be causal thereby a necessary condition of stability can be retained.
- Is Part Of:
- Europhysics letters. Volume 120:Number 4(2017:Nov.)
- Journal:
- Europhysics letters
- Issue:
- Volume 120:Number 4(2017:Nov.)
- Issue Display:
- Volume 120, Issue 4 (2017)
- Year:
- 2017
- Volume:
- 120
- Issue:
- 4
- Issue Sort Value:
- 2017-0120-0004-0000
- Page Start:
- Page End:
- Publication Date:
- 2018-02-07
- Subjects:
- 03.50.-z -- 11.10.Ef
Physics -- Periodicals
Electronic journals
530.05 - Journal URLs:
- http://epljournal.edpsciences.org ↗
http://iopscience.iop.org/0295-5075 ↗
http://www.iop.org/ ↗
http://www.edpsciences.com/euro ↗ - DOI:
- 10.1209/0295-5075/120/40005 ↗
- Languages:
- English
- ISSNs:
- 0295-5075
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library STI - ELD Digital store - Ingest File:
- 11371.xml