Non-critical string theory: Difference between revisions

Revision as of 11:50, 16 July 2020

Revision as of 16:46, 22 July 2020

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of string theory in 4-dimensional Minkowski space-time.

There are several applications of the non-critical string. Through the [[AdS/CFT correspondence]] it provides a holographic description of gauge theories which are asymptotically free.{{Citation needed|date=February 2007}}<ref name=":0">{{Cite journal|last=Kiritsis|first=Elias|s2cid=2236596|date=26 Jan 2009|title=Dissecting the string theory dual of QCD|url=https://arxiv.org/abs/0901.1772|journal=Fortschritte der Physik|volume=57|issue=5–7|pages=369-417369–417|arxiv=0901.1772 [hep-th]|doi=10.1002/prop.200900011|bibcode=2009ForPh..57..396K}}</ref> It may then have applications to the study of the [[Quantum chromodynamics|QCD]], the theory of strong interactions between [[quarks]].<ref name=":0" /> Another area of much research is two-dimensional string theory which provides simple [[toy model]]s of [[string theory]]. There also exists a [[string duality|duality]] to the 3-dimensional [[Ising model]].{{Citation needed|date=February 2007}}

== The critical dimension and central charge ==

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** Vol. 1: An introduction to the bosonic string. {{ISBN|0-521-63303-6}}.

** Vol. 2: Superstring theory and beyond. {{ISBN|0-521-63304-4}}.

* {{cite journal | last=Polyakov | first=A.M. | title=Quantum geometry of bosonic strings | journal=Physics Letters B | publisher=Elsevier BV | volume=103 | issue=3 | year=1981 | issn=0370-2693 | doi=10.1016/0370-2693(81)90743-7 | pages=207–210| bibcode=1981PhLB..103..207P }}

* {{cite journal | last=Polyakov | first=A.M. | title=Quantum geometry of fermionic strings | journal=Physics Letters B | publisher=Elsevier BV | volume=103 | issue=3 | year=1981 | issn=0370-2693 | doi=10.1016/0370-2693(81)90744-9 | pages=211–213| bibcode=1981PhLB..103..211P }}

* {{cite journal | lastlast1=Curtright | firstfirst1=Thomas L. | last2=Thorn | first2=Charles B. | title=Conformally Invariant Quantization of the Liouville Theory | journal=Physical Review Letters | publisher=American Physical Society (APS) | volume=48 | issue=19 | date=1982-05-10 | issn=0031-9007 | doi=10.1103/physrevlett.48.1309 | pages=1309–1313| bibcode=1982PhRvL..48.1309C }} [Erratum-ibid. 48 (1982) 1768].

* {{cite journal | lastlast1=Gervais | firstfirst1=Jean-Loup | last2=Neveu | first2=André | title=Dual string spectrum in Polyakov's quantization (II). Mode separation | journal=Nuclear Physics B | publisher=Elsevier BV | volume=209 | issue=1 | year=1982 | issn=0550-3213 | doi=10.1016/0550-3213(82)90105-5 | pages=125–145| bibcode=1982NuPhB.209..125G }}

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