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Nonequilibrium dynamics in theO(N)model to next-to-next-to-leading order in the1/Nexpansion
Gert Aarts 
,
Anders Tranberg
,
Anders Tranberg
Physical Review D, Volume: "D74", Issue: 2, Start page: 025004
Swansea University Author:
Gert Aarts
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DOI (Published version): 10.1103/PhysRevD.74.025004
Abstract
Nonequilibrium dynamics in quantum field theory has been studied extensively using truncations of the 2PI effective action. Both 1/N and loop expansions beyond leading order show remarkable improvement when compared to mean-field approximations. However, in truncations used so far, only the leading-...
| Published in: | Physical Review D |
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| ISSN: | 1550-7998 1550-2368 |
| Published: |
2006
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa22596 |
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| Abstract: |
Nonequilibrium dynamics in quantum field theory has been studied extensively using truncations of the 2PI effective action. Both 1/N and loop expansions beyond leading order show remarkable improvement when compared to mean-field approximations. However, in truncations used so far, only the leading-order parts of the self energy responsible for memory loss, damping and equilibration are included, which makes it difficult to discuss convergence systematically. For that reason we derive the real and causal evolution equations for an O(N) model to next-to-next-to-leading order in the 2PI-1/N expansion. Due to the appearance of internal vertices the resulting equations appear intractable for a full-fledged 3+1 dimensional field theory. Instead, we solve the closely related three-loop approximation in the auxiliary-field formalism numerically in 0+1 dimensions (quantum mechanics) and compare to previous approximations and the exact numerical solution of the Schroedinger equation. |
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| Item Description: |
@articleAarts:2006cv, author = "Aarts, Gert and Tranberg, Anders", title = "Nonequilibrium dynamics in the O(N) model to next-to-next-to-leading order in the 1/N expansion", journal = "Phys.Rev.", volume = "D74", pages = "025004", doi = "10.1103/PhysRevD.74.025004", year = "2006", eprint = "hep-th/0604156", archivePrefix = "arXiv", primaryClass = "hep-th", reportNumber = "SWAT-06-463, DAMTP-2006-28", SLACcitation = "%%CITATION = HEP-TH/0604156;%%", |
| College: |
Faculty of Science and Engineering |
| Issue: |
2 |
| Start Page: |
025004 |