Large N classical equations and their quantum significance
Identifieur interne : 002755 ( Main/Exploration ); précédent : 002754; suivant : 002756Large N classical equations and their quantum significance
Auteurs : A. Jevicki [États-Unis] ; H. Levine [États-Unis]Source :
- Annals of Physics [ 0003-4916 ] ; 1981.
English descriptors
- Teeft :
- Classical equation, Classical equations, Classical field equations, Classical field theory, Classical mechanics, Classical solutions, Classical system, Collective field, Collective field equations, Collective field hamiltonian, Collective fields, Collective hamiltonian, Computation yields, Constraint, Dimensional transmutation, Effective equations, Equal time correlation function, Explicit form, First integral, Hamiltonian, Hermitian hamiltonian, Jevicki, Large number, Levine, Linear model, Nucl, Phvs, Phys, Planar diagrams, Previous section, Quantum, Quantum field theory, Quantum mechanics, Quantum mechanics example, Quantum states, Quantum theory, Separate publication, Similarity transformation, Singlet, Singlet states, Singlet subspace, Symmetry transformations, Time derivatives, Vacuum expectation value, Vector models, Vector multiplet, Wide variety.
Abstract
Abstract: We show that the large N limits of a wide variety of vector models may be obtained by studying the classical equations of motion. In particular, we derive a constraint which allows us to choose solutions of the classical field equations which directly give the correlation functions of N → ∞ quantum system. Models studied here include quantum mechanics on a sphere, two-dimensional linear and nonlinear O(N) field theories and the CPN model.
Url:
DOI: 10.1016/0003-4916(81)90087-7
Affiliations:
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Jevicki</name><affiliation wicri:level="2"><country xml:lang="fr">États-Unis</country><placeName><region type="state">Rhode Island</region></placeName><wicri:cityArea>Department of Physics, Brown University, Providence</wicri:cityArea></affiliation></author><author><name sortKey="Levine, H" sort="Levine, H" uniqKey="Levine H" first="H" last="Levine">H. Levine</name><affiliation wicri:level="2"><country xml:lang="fr">États-Unis</country><placeName><region type="state">Massachusetts</region></placeName><wicri:cityArea>Lyman Laboratory of Physics, Harvard University, Cambridge</wicri:cityArea></affiliation></author></analytic><monogr></monogr><series><title level="j">Annals of Physics</title><title level="j" type="abbrev">YAPHY</title><idno type="ISSN">0003-4916</idno><imprint><publisher>ELSEVIER</publisher><date type="published" when="1981">1981</date><biblScope unit="volume">136</biblScope><biblScope unit="issue">1</biblScope><biblScope unit="page" from="113">113</biblScope><biblScope unit="page" to="135">135</biblScope></imprint><idno type="ISSN">0003-4916</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0003-4916</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="Teeft" xml:lang="en"><term>Classical equation</term><term>Classical equations</term><term>Classical field equations</term><term>Classical field theory</term><term>Classical mechanics</term><term>Classical solutions</term><term>Classical system</term><term>Collective field</term><term>Collective field equations</term><term>Collective field hamiltonian</term><term>Collective fields</term><term>Collective hamiltonian</term><term>Computation yields</term><term>Constraint</term><term>Dimensional transmutation</term><term>Effective equations</term><term>Equal time correlation function</term><term>Explicit form</term><term>First integral</term><term>Hamiltonian</term><term>Hermitian hamiltonian</term><term>Jevicki</term><term>Large number</term><term>Levine</term><term>Linear model</term><term>Nucl</term><term>Phvs</term><term>Phys</term><term>Planar diagrams</term><term>Previous section</term><term>Quantum</term><term>Quantum field theory</term><term>Quantum mechanics</term><term>Quantum mechanics example</term><term>Quantum states</term><term>Quantum theory</term><term>Separate publication</term><term>Similarity transformation</term><term>Singlet</term><term>Singlet states</term><term>Singlet subspace</term><term>Symmetry transformations</term><term>Time derivatives</term><term>Vacuum expectation value</term><term>Vector models</term><term>Vector multiplet</term><term>Wide variety</term></keywords></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: We show that the large N limits of a wide variety of vector models may be obtained by studying the classical equations of motion. In particular, we derive a constraint which allows us to choose solutions of the classical field equations which directly give the correlation functions of N → ∞ quantum system. Models studied here include quantum mechanics on a sphere, two-dimensional linear and nonlinear O(N) field theories and the CPN model.</div></front></TEI><affiliations><list><country><li>États-Unis</li></country><region><li>Massachusetts</li><li>Rhode Island</li></region></list><tree><country name="États-Unis"><region name="Rhode Island"><name sortKey="Jevicki, A" sort="Jevicki, A" uniqKey="Jevicki A" first="A" last="Jevicki">A. Jevicki</name></region><name sortKey="Levine, H" sort="Levine, H" uniqKey="Levine H" first="H" last="Levine">H. Levine</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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