Journal article
The Light-Front Vacuum
Physical review. D, Particles, fields, gravitation, and cosmology, Vol.91(8), 085043
02/04/2015
DOI: 10.1103/PhysRevD.91.085043
Abstract
Phys. Rev. D 91, 085043 (2015) Background: The vacuum in the light-front representation of quantum field
theory is trivial while vacuum in the equivalent canonical representation of
the same theory is non-trivial.
Purpose: Understand the relation between the vacuum in light-front and
canonical representations of quantum field theory and the role of zero-modes in
this relation.
Method: Vacuua are defined as linear functionals on an algebra of field
operators. The role of the algebra in the definition of the vacuum is exploited
to understand this relation.
Results: The vacuum functional can be extended from the light-front Fock
algebra to an algebra of local observables. The extension to the algebra of
local observables is responsible for the inequivalence. The extension defines a
unitary mapping between the physical representation of the local algebra and a
sub-algebra of the light-front Fock algebra.
Conclusion: There is a unitary mapping from the physical representation of
the algebra of local observables to a sub-algebra of the light-front Fock
algebra with the free light-front Fock vacuum. The dynamics appears in the
mapping and the structure of the sub-algebra. This correspondence provides a
formulation of locality and Poincar\'e invariance on the light-front Fock
space.
Details
- Title: Subtitle
- The Light-Front Vacuum
- Creators
- Marc HerrmannWayne Polyzou
- Resource Type
- Journal article
- Publication Details
- Physical review. D, Particles, fields, gravitation, and cosmology, Vol.91(8), 085043
- DOI
- 10.1103/PhysRevD.91.085043
- ISSN
- 1550-7998
- eISSN
- 1550-2368
- Publisher
- American Physical Society
- Grant note
- DOI: 10.13039/100000015, name: U.S. Department of Energy, award: DE-FG02-86ER40286
- Language
- English
- Date published
- 02/04/2015
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199933602771
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