Roman JackiwPub Date : 2020-07-20DOI: 10.1142/9789811210679_0012
L. Wijewardhana
{"title":"Tribute to a Mentor","authors":"L. Wijewardhana","doi":"10.1142/9789811210679_0012","DOIUrl":"https://doi.org/10.1142/9789811210679_0012","url":null,"abstract":"","PeriodicalId":437053,"journal":{"name":"Roman Jackiw","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117266353","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Roman JackiwPub Date : 2020-07-20DOI: 10.1142/9789811210679_fmatter
A. Niemi, Terry Tomboulis, K. K. Phua
{"title":"FRONT MATTER","authors":"A. Niemi, Terry Tomboulis, K. K. Phua","doi":"10.1142/9789811210679_fmatter","DOIUrl":"https://doi.org/10.1142/9789811210679_fmatter","url":null,"abstract":"","PeriodicalId":437053,"journal":{"name":"Roman Jackiw","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116341112","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Roman JackiwPub Date : 2020-03-24DOI: 10.1142/9789811210679_0021
G. Semenoff
{"title":"How to Split the Electron in Half","authors":"G. Semenoff","doi":"10.1142/9789811210679_0021","DOIUrl":"https://doi.org/10.1142/9789811210679_0021","url":null,"abstract":"This essay is a tribute to Professor Roman Jackiw on the occasion of his eightieth year. \u0000It discusses some ideas about Fermion zero modes and fractional charges and quantum entanglement.","PeriodicalId":437053,"journal":{"name":"Roman Jackiw","volume":"74 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116252720","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Roman JackiwPub Date : 2020-02-16DOI: 10.1142/9789811210679_0017
D. Giuliano, A. Trombettoni, Pasquale Sodano
{"title":"Emerging Majorana Modes in Junctions of One-Dimensional Spin Systems","authors":"D. Giuliano, A. Trombettoni, Pasquale Sodano","doi":"10.1142/9789811210679_0017","DOIUrl":"https://doi.org/10.1142/9789811210679_0017","url":null,"abstract":"The non-local effects induced by Majorana fermions in field theories for condensed matter systems are deeply related to the fermion charge fractionalization discovered by Roman Jackiw in relativistic field theories. We show how the presence of Majorana fermions may be mimicked in pertinent networks of spin chains inducing a spin analogue of the multi-channel Kondo effect. The relevance of this spin analogue of the Kondo effect for networks of Josephson arrays and Tonks-Girardeau gases is highlighted.","PeriodicalId":437053,"journal":{"name":"Roman Jackiw","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127931238","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Roman JackiwPub Date : 2020-01-28DOI: 10.1142/S0129055X21400018
Nicolas Cramp'e, Rafael I. Nepomechie, L. Vinet
{"title":"Entanglement in Fermionic Chains and Bispectrality","authors":"Nicolas Cramp'e, Rafael I. Nepomechie, L. Vinet","doi":"10.1142/S0129055X21400018","DOIUrl":"https://doi.org/10.1142/S0129055X21400018","url":null,"abstract":"Entanglement in finite and semi-infinite free Fermionic chains is studied. A parallel is drawn with the analysis of time and band limiting in signal processing. It is shown that a tridiagonal matrix commuting with the entanglement Hamiltonian can be found using the algebraic Heun operator construct in instances when there is an underlying bispectral problem. Cases corresponding to the Lie algebras [Formula: see text] and [Formula: see text] as well as to the q-deformed algebra [Formula: see text] at [Formula: see text] a root of unity are presented.","PeriodicalId":437053,"journal":{"name":"Roman Jackiw","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131163585","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Roman JackiwPub Date : 2020-01-14DOI: 10.1142/9789811210679_0016
S. Forte
{"title":"On the Sudakov Form Factor, and a Factor of Two","authors":"S. Forte","doi":"10.1142/9789811210679_0016","DOIUrl":"https://doi.org/10.1142/9789811210679_0016","url":null,"abstract":"I answer a question that Roman Jackiw asked me, and I draw some lessons from the answer. The question is: why is the Sudakov form factor larger by a factor of two, if computed for off-shell fermions, in comparison to the on-shell case? The answer sheds some light on the interplay between infrared and collinear singularities -- and the importance of factors of two.","PeriodicalId":437053,"journal":{"name":"Roman Jackiw","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131365374","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Roman JackiwPub Date : 2019-12-16DOI: 10.1142/9789811210679_0024
F. Wilczek
{"title":"Three Easy Pieces (in Tribute to Roman Jackiw)","authors":"F. Wilczek","doi":"10.1142/9789811210679_0024","DOIUrl":"https://doi.org/10.1142/9789811210679_0024","url":null,"abstract":"Roman Jackiw has made highly original and influential contributions to several areas of physics that have grown and blossomed, notably including the quantum physics of domain walls, magnetic monopoles, and fractional quantum numbers. Here I offer three small pieces that take off from those themes. I discuss the emergence of topological surface structure in materials, the emergence of a shape-space magnetic monopole in a simple mechanical system, and the emergence of fractional angular momentum in an even simpler quantum mechanical (molecular) system.","PeriodicalId":437053,"journal":{"name":"Roman Jackiw","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117024411","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Roman JackiwPub Date : 2019-11-15DOI: 10.1142/9789811210679_0018
D. Kabat
{"title":"Anomalies and Bose Symmetry","authors":"D. Kabat","doi":"10.1142/9789811210679_0018","DOIUrl":"https://doi.org/10.1142/9789811210679_0018","url":null,"abstract":"We point out a feature of the triangle diagram for three chiral currents which is perhaps not widely appreciated: Bose symmetry is not manifest and suffers from a momentum-routing ambiguity. Imposing Bose symmetry fixes the ambiguity and leads to the famous Adler - Bell - Jackiw anomaly.","PeriodicalId":437053,"journal":{"name":"Roman Jackiw","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115140160","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Roman JackiwPub Date : 2019-10-14DOI: 10.1142/9789811210679_0019
V. Nair
{"title":"Sasakians and the Geometry of a Mass Term","authors":"V. Nair","doi":"10.1142/9789811210679_0019","DOIUrl":"https://doi.org/10.1142/9789811210679_0019","url":null,"abstract":"A gauge-invariant mass term for nonabelian gauge fields in two dimensions can be expressed as the Wess–Zumino–Witten (WZW) action. Hard thermal loops in the gauge theory in four dimensions at finite temperatures generate a screening mass for some components of the gauge field. This can be expressed in terms of the WZW action using the bundle of complex structures (for Euclidean signature) or the bundle of lightcones over Minkowski space. We show that a dynamically generated mass term in three dimensions can be put within the same general framework using the bundle of Sasakian structures.","PeriodicalId":437053,"journal":{"name":"Roman Jackiw","volume":"289 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133178204","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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