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Aspects of Chern-Simons Theory [article]

Gerald V. Dunne
1999 arXiv   pre-print
These lectures contain an introduction to various aspects of Chern-Simons gauge theory: (i) basics of planar field theory, (ii) canonical quantization of Chern-Simons theory, (iii) Chern-Simons vortices  ...  , and (iv) radiatively induced Chern-Simons terms.  ...  The Chern-Simons analogue of the cyclotron frequency ω c is the Chern-Simons mass κe 2 .  ... 
arXiv:hep-th/9902115v1 fatcat:6fnq52ryebbibirx6jp4jpxtjm

Classification of Non-Abelian Chern-Simons Vortices [article]

Gerald Dunne
1993 arXiv   pre-print
The two-dimensional self-dual Chern-Simons equations are equivalent to the conditions for static, zero-energy vortex-like solutions of the (2+1) dimensional gauged nonlinear Schrödinger equation with Chern-Simons  ...  The Uhlenbeck-Wood classification of such harmonic maps into the unitary groups thereby leads to a complete classification of the vacuum states of the Chern-Simons model.  ...  vortex solution (13) to the self-dual Chern-Simons equations (5, 6) .  ... 
arXiv:hep-th/9310182v1 fatcat:blnugtlae5dg3db26xvzeaj5xq

Finite Temperature Chern-Simons Coefficient

Gerald Dunne, Kimyeong Lee, Changhai Lu
1997 Physical Review Letters  
We compute the exact finite temperature effective action in a 0+1-dimensional field theory containing a topological Chern-Simons term, which has many features in common with 2+1-dimensional Chern-Simons  ...  2A, the fermion mass term and the Chern-Simons term are not invariant.  ...  (Recall that it is possible to define a Chern-Simons term in odd dimensional space-time. Some features of "Chern-Simons quantum mechanics" have been studied previously [14] .)  ... 
doi:10.1103/physrevlett.78.3434 fatcat:vdkrq3w67ng5lhijz77isnpm4u

Chern-Simons solitons, Toda theories and the chiral model

Gerald Dunne
1992 Communications in Mathematical Physics  
The two-dimensional self-dual Chern--Simons equations are equivalent to the conditions for static, zero-energy solutions of the (2+1)-dimensional gauged nonlinear Schrödinger equation with Chern--Simons  ...  In this paper we classify all finite charge SU(N) solutions by first transforming the self-dual Chern--Simons equations into the two-dimensional chiral model (or harmonic map) equations, and then using  ...  nonlinear Schrödinger equation with Chern-Simons coupling.  ... 
doi:10.1007/bf02096959 fatcat:svnxpygzr5h3xjhzbk5e27d2bm

"Peierls substitution" and Chern-Simons Quantum mechanics

G. Dunne, R. Jackiw
1993 Nuclear Physics B - Proceedings Supplements  
magnetic term models the field theoretic Chern-Simons interaction.  ...  Setting m to zero in the quantum mechanics problem parallels the passage from a topologically massive gauge field theory (with the Maxwell/Yang-Mills and Chern-Simons terms) to a pure Chern-Simons field  ... 
doi:10.1016/0920-5632(93)90376-h fatcat:b56vjxqh5bgbxbx6v46rvvjuta

Renormalization in coupled-abelian self-dual Chern-Simons models

Gerald Dunne, Theodore Hall
1997 Physics Letters B  
An algebraic restriction of the nonabelian self-dual Chern-Simons-Higgs systems leads to coupled-abelian self-dual models with intricate mass spectra.  ...  In this paper we compute the gauge-gauge-Higgs couplings in the broken phases and use this to compute the finite renormalizations of the Chern-Simons coefficient in the various vacua.  ...  these self-dual Chern-Simons models [15] .  ... 
doi:10.1016/s0370-2693(96)01541-9 fatcat:d2sglytnirei7idb5zzasj2yaa

Magnetic symmetries and vortices in Chern-Simons theories

Gerald Dunne, Alex Kovner, Bayram Tekin
2000 Physical Review D, Particles and fields  
We study the locality properties of the vortex operators in compact U(1) Maxwell-Chern-Simons and SU(N) Yang-Mills-Chern-Simons theories in 2+1 dimensions.  ...  Compact QED with the Chern Simons term.  ...  Including the Chern-Simons term does not alter the classical compact gauge symmetries of the system, but we might expect new behavior because the Chern-Simons term generates massive gauge degrees of freedom  ... 
doi:10.1103/physrevd.63.025009 fatcat:kshte2rj75gnrkff2n2bqwetfa

Vacuum mass spectra for SU(N) self-dual Chern-Simons-Higgs systems

Gerald Dunne
1995 Nuclear Physics B  
We study the SU(N) self-dual Chern-Simons-Higgs systems with adjoint matter coupling, and show that the sixth order self-dual potential has p(N) gauge inequivalent degenerate minima, where p(N) is the  ... 
doi:10.1016/0550-3213(94)00476-u fatcat:67ntbyz7ovcttndaukyzuatumy

Symmetry breaking in the Schrödinger representation for Chern-Simons theories

Gerald Dunne
1994 Physical Review D, Particles and fields  
The analysis is presented for three-dimensional space-time abelian gauge theories with either Maxwell, Maxwell-Chern-Simons, or pure Chern-Simons terms as the gauge field contribution to the action, each  ... 
doi:10.1103/physrevd.50.5321 pmid:10018182 fatcat:nhip34rfknaybhjubrerjkzg4m

Where Do Batteries End and Supercapacitors Begin?

P. Simon, Y. Gogotsi, B. Dunn
2014 Science  
E-mail:;; Patrice Simon , 1 Yury Gogotsi , 2 Bruce Dunn, 3 1  ... 
doi:10.1126/science.1249625 pmid:24626920 fatcat:sglire6lvzbkrp7qlyasfoxwr4

Integer quantization of the Chern-Simons coefficient in a broken phase

Lusheng Chen, Gerald Dunne, Kurt Haller, Edwin Lim-Lombridas
1995 Physics Letters B  
Recently there has been some question concerning the renormalization of the Chern-Simons coefficient in such a broken phase.  ...  We show that, in this broken vacuum, the renormalized ratio of the Chern-Simons coupling to the gauge coupling is shifted by 1/4π times an integer, preserving the usual integer quantization condition on  ...  Chern-Simons coupling constant, m [1] .  ... 
doi:10.1016/0370-2693(95)00199-u fatcat:ps3u323xjfcoxbjvbzkbn2nbdu

Neural Mechanisms Underlying Human Consensus Decision-Making

Shinsuke Suzuki, Ryo Adachi, Simon Dunne, Peter Bossaerts, John P. O'Doherty
2015 Neuron  
., 2009; Dunne and O'Doherty, 2013) have demonstrated that pSTS/TPJ encodes learning signals for the prediction of other people's behavior, such as prediction error about the influence of one's own action  ... 
doi:10.1016/j.neuron.2015.03.019 pmid:25864634 pmcid:PMC4409560 fatcat:tmfsdsujqzb7vbw46ebg7d6lli

Lateral visual occlusion does not change walking trajectories

Matt J. Dunn, Simon K. Rushton
2018 Journal of Vision  
Corresponding author: Simon K. Rushton. Email: Address: School of Psychology, Cardiff University, Cardiff, UK.  ... 
doi:10.1167/18.9.11 pmid:30208430 pmcid:PMC6141229 fatcat:zoc3t4gdbjgddo7dzogmgsrioi

Pseudocapacitive oxide materials for high-rate electrochemical energy storage

Veronica Augustyn, Patrice Simon, Bruce Dunn
2014 Energy & Environmental Science  
Patrice Simon is Professor of Background While the idea that charges could accumulate on solids was known since ancient times, (dating back to the Greek word for amber -electron) 7 the rst patent for  ...  (b) Professor Simon has received several awards for his work including an Advanced Grant from the European Research Council (ERC) in 2011 and the Tajima Prize of the International Electrochemical Society  ... 
doi:10.1039/c3ee44164d fatcat:dti7jq5t6janbpk66iht5ttt3i

Choosing for Me or Choosing for You: Value in Medial Prefrontal Cortex

Simon Dunne, John P. O'Doherty
2012 Neuron  
doi:10.1016/j.neuron.2012.09.005 pmid:22998862 fatcat:v2tugfwkcvfutjbjmv2bpwcs6a
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