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Title: Open effective field theories from deeply inelastic reactions

Journal Article · · Physical Review D
 [1];  [2];  [3]
  1. The Ohio State Univ., Columbus, OH (United States)
  2. Technische Univ., Darmstadt (Germany); GSI Helmholtzzentrum für Schwerionenforschung; Darmstadt (Germany)
  3. Cornell Univ., Ithaca, NY (United States)
+ Show Author Affiliations

Effective field theories have often been applied to systems with deeply inelastic reactions that produce particles with large momenta outside the domain of validity of the effective theory. The effects of the deeply inelastic reactions have been taken into account in previous work by adding local anti-Hermitian terms to the effective Hamiltonian. Here we show that when multi-particle systems are considered, an additional modification is required in equations governing the density matrix. Finally, we define an effective density matrix by tracing over the states containing high-momentum particles, and show that it satisfies a Lindblad equation, with local Lindblad operators determined by the anti-Hermitian terms in the effective Hamiltonian density.

Research Organization:
The Ohio State Univ., Columbus, OH (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); Simons Fondation; Federal Ministry of Education and Research (BMBF); German Research Foundation (DFG)
Grant/Contract Number:
SC0011726; FG02-05ER15715; PHY-1310862; 05P15RDFN1
OSTI ID:
1602519
Alternate ID(s):
OSTI ID: 1324870
Journal Information:
Physical Review D, Vol. 94, Issue 5; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 19 works
Citation information provided by
Web of Science

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Order m α 8 contributions to the decay rate of orthopositronium journal March 1994
O ( α 2 Γ , α 3 Γ ) binding effects in orthopositronium decay journal October 2000
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Muonium decay journal February 2000

Cited By (2)

Emission of Photons and Relativistic Axions from Axion Stars text January 2016
Quarkonium In-Medium Transport Equation Derived from First Principles text January 2018

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Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
effective field theory
open quantum systems & decoherence
particle decays
particle interactions