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Canonical quantization of nonlocal theories related to bosonization in 2 + 1D

Technical Report:

Abstract

We present a canonical formulation for theories whose actions contain non-integer powers of the d`Alembertian operator and which were recently shown to play a central role in 2 + 1D bosonization. We show that these theories possess an infinite number of constraints and use the Dirac method in order to obtain the classical brackets. The casual and classical Green functions are obtained and their meaning in terms of field expectation values is discussed. The Wightman functions are introduced and shown to lead to the microcausality principle. A mode expansion for the field is obtained. This permits the reobtention of the Wightman functions as vacuum expectation values of products of the basic fields. Creation and annihilation operators are naturally introduced but, as shown, they are not related to definite mass particle states. This is also confirmed by the spectral decomposition of the Wightman functions. (author). 16 refs, 1 fig.
Authors:
Amaral, R.L.P.G. do; [1]  Marino, E C
  1. Pontificia Univ. Catolica do Rio de Janeiro, RJ (Brazil). Dept. de Fisica
Publication Date:
Aug 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/300
Reference Number:
SCA: 662110; PA: AIX-23:017664; SN: 92000661423
Resource Relation:
Other Information: PBD: Aug 1991
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; YUKAWA NONLOCAL THEORY; QUANTIZATION; ANNIHILATION OPERATORS; CREATION OPERATORS; GREEN FUNCTION; LAGRANGIAN FIELD THEORY; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10118401
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92616923; TRN: XA9230490017664
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
26 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Amaral, R.L.P.G. do, and Marino, E C. Canonical quantization of nonlocal theories related to bosonization in 2 + 1D. IAEA: N. p., 1991. Web.
Amaral, R.L.P.G. do, & Marino, E C. Canonical quantization of nonlocal theories related to bosonization in 2 + 1D. IAEA.
Amaral, R.L.P.G. do, and Marino, E C. 1991. "Canonical quantization of nonlocal theories related to bosonization in 2 + 1D." IAEA.
@misc{etde_10118401,
title = {Canonical quantization of nonlocal theories related to bosonization in 2 + 1D}
author = {Amaral, R.L.P.G. do, and Marino, E C}
abstractNote = {We present a canonical formulation for theories whose actions contain non-integer powers of the d`Alembertian operator and which were recently shown to play a central role in 2 + 1D bosonization. We show that these theories possess an infinite number of constraints and use the Dirac method in order to obtain the classical brackets. The casual and classical Green functions are obtained and their meaning in terms of field expectation values is discussed. The Wightman functions are introduced and shown to lead to the microcausality principle. A mode expansion for the field is obtained. This permits the reobtention of the Wightman functions as vacuum expectation values of products of the basic fields. Creation and annihilation operators are naturally introduced but, as shown, they are not related to definite mass particle states. This is also confirmed by the spectral decomposition of the Wightman functions. (author). 16 refs, 1 fig.}
place = {IAEA}
year = {1991}
month = {Aug}
}