About: Parity anomaly

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In theoretical physics a quantum field theory is said to have a parity anomaly if its classical action is invariant under a change of parity of the universe, but the quantum theory is not invariant. This kind of anomaly can occur in odd-dimensional gauge theories with fermions whose gauge groups have odd dual Coxeter numbers. They were first introduced by and Gordon Walter Semenoff in the letter Axial-Anomaly-Induced Fermion Fractionization and Effective Gauge-Theory Actions in Odd-Dimensional Space-Times and by in the letter Gauge Noninvariance and Parity Nonconservation of Three-Dimensional Fermions and the article Parity violation and gauge noninvariance of the effective gauge field action in three dimensions. It is in some sense an odd-dimensional version of Edward Witten's SU(2) ano

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rdf:type	yago:WikicatAnomaliesInPhysics yago:Abnormality114501726 yago:Abstraction100002137 yago:Anomaly114505821 yago:Attribute100024264 yago:Condition113920835 yago:PhysicalCondition114034177 yago:State100024720
rdfs:label	반전성 변칙 (ko) Parity anomaly (en)
rdfs:comment	양자장론에서 반전성 변칙(反轉性變則, 영어: parity anomaly)은 홀수 차원의 시공간의 게이지 이론, 이 변칙적으로 깨지는 현상이다. (ko) In theoretical physics a quantum field theory is said to have a parity anomaly if its classical action is invariant under a change of parity of the universe, but the quantum theory is not invariant. This kind of anomaly can occur in odd-dimensional gauge theories with fermions whose gauge groups have odd dual Coxeter numbers. They were first introduced by and Gordon Walter Semenoff in the letter Axial-Anomaly-Induced Fermion Fractionization and Effective Gauge-Theory Actions in Odd-Dimensional Space-Times and by in the letter Gauge Noninvariance and Parity Nonconservation of Three-Dimensional Fermions and the article Parity violation and gauge noninvariance of the effective gauge field action in three dimensions. It is in some sense an odd-dimensional version of Edward Witten's SU(2) ano (en)
dcterms:subject	Anomalies (physics)
Wikipage page ID	1535634 (xsd:integer)
Wikipage revision ID	1099559155 (xsd:integer)
Link from a Wikipage to another Wikipage	Quantum field theory Determinant Anomaly (physics) Anomalies (physics) Renormalization Instanton Coupling constant Chern–Simons form Chern–Simons theory Real representation Edward Witten Gauge theories Configuration space (physics) Stokes' theorem Partition function (quantum field theory) Theoretical physics Line integral Action (physics) Fermions Parity (physics) Dirac fermion Elliptic equation Gordon Walter Semenoff Ultraviolet divergence Regularization (physics) Vector potential Atiyah–Singer index theorem Pauli–Villars regularization Chern class Square root Circumnavigation Majorana fermion Observable Dual Coxeter number Eigenvalues Theta angle dbr:A._Norman_Redlich dbr:Antti_J._Niemi
Link from a Wikipage to an external page	https://arxiv.org/abs/hep-th/9908075 http://prola.aps.org/abstract/PRD/v29/i10/p2366_1 http://prola.aps.org/abstract/PRL/v51/i23/p2077_1 http://prola.aps.org/abstract/PRL/v52/i1/p18_1 https://arxiv.org/abs/hep-th/9506170 https://arxiv.org/abs/hep-th/9903005
sameAs	Parity anomaly Parity anomaly Parity anomaly Parity anomaly Parity anomaly
dbp:wikiPageUsesTemplate	dbt:More_citations_needed dbt:Short_description
has abstract	In theoretical physics a quantum field theory is said to have a parity anomaly if its classical action is invariant under a change of parity of the universe, but the quantum theory is not invariant. This kind of anomaly can occur in odd-dimensional gauge theories with fermions whose gauge groups have odd dual Coxeter numbers. They were first introduced by and Gordon Walter Semenoff in the letter Axial-Anomaly-Induced Fermion Fractionization and Effective Gauge-Theory Actions in Odd-Dimensional Space-Times and by in the letter Gauge Noninvariance and Parity Nonconservation of Three-Dimensional Fermions and the article Parity violation and gauge noninvariance of the effective gauge field action in three dimensions. It is in some sense an odd-dimensional version of Edward Witten's SU(2) anomaly in 4-dimensions, and in fact Redlich writes that his demonstration follows Witten's. (en) 양자장론에서 반전성 변칙(反轉性變則, 영어: parity anomaly)은 홀수 차원의 시공간의 게이지 이론, 이 변칙적으로 깨지는 현상이다. (ko)
gold:hypernym	Invariant
prov:wasDerivedFrom	wikipedia-en:Parity_anomaly?oldid=1099559155&ns=0
page length (characters) of wiki page	8596 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Parity_anomaly
is Link from a Wikipage to another Wikipage of	Anomaly (physics) Index of physics articles (P) Anomaly Chern–Simons theory Gordon Walter Semenoff
is Wikipage disambiguates of	Anomaly
is foaf:primaryTopic of	wikipedia-en:Parity_anomaly

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