Nolasco M., Tarantello G.'s Vortex condensates for the SU(3) Chern-Simons theory PDF

By Nolasco M., Tarantello G.

Show description

Read Online or Download Vortex condensates for the SU(3) Chern-Simons theory PDF

Best theory books

Governance Theory: A Cross-Disciplinary Approach by Vasudha Chhotray, Gerry Stoker PDF

Confusion approximately governance abounds. Many lack appreciation of the way varied traditions of notion within the social sciences give a contribution to our figuring out. This publication tackles those weaknesses head on and goals to supply a much broader imaginative and prescient of the realm, analyzing 3 serious components of perform: environmental, company and participatory governance.

Read e-book online Theory of Quantum Computation, Communication, and PDF

This publication constitutes the completely refereed post-workshop complaints of the 4th Workshop on concept of Quantum Computation, conversation, and Cryptography, TQC 2009, held in Waterloo, Canada, in may perhaps 2009. the ten revised papers offered have been conscientiously chosen in the course of rounds of reviewing and development.

Download PDF by n/a: Madelung.Teoriya.Tverdogo.Tela

The next description is in Russian (transliterated), through an automatic English translation. We say sorry for inaccuracies within the computer-generated English translation. Please be at liberty to touch us for a correct human English translation, which good feel free to organize upon requestTrans.

Extra resources for Vortex condensates for the SU(3) Chern-Simons theory

Sample text

13) is a novelty of the SU (3)-theory and it is certainly worthwhile investigating. Acknowledgments: The authors wish to express their gratitude to G. Dunne for useful comments. 34 M. NOLASCO AND G. TARANTELLO References [1] A. Abrikosov, On the magnetic properties of superconductors of the second group, Soviet Phys. JETP 5 (1957), 1174–1182. [2] A. Ambrosetti and P. H. Rabinowitz, Dual variational methods in critical points theory and applications, J. Funct. Anal. 14 (1973), 349–381. [3] T. Aubin, Nonlinear analysis on manifolds.

Lett. 66 (1991), 553–555. [26] H. Nielsen and P. Olesen, Vortex-line models for dual strings, Nucl. Phys. B 61 (1973), 45–61. [27] M. Nolasco and G. Tarantello, On a sharp Sobolev type inequality on two dimensional compact manifolds, Arch. Rational Mech. Anal. 145 (1998), 161–195. [28] , Double vortex condensates in the Chern-Simons-Higgs theory, Calc. Var. and PDE. 9 (1999), 31–94. [29] T. Ricciardi and G. Tarantello, Self-dual vortices in the Maxwell- Chern-Simons-Higgs theory, Preprint, 1999.

Recall that in this case N1 = 0, and hence h1 = 1, N2 = 1. 42) 2 2 ≤ C, for suitable C > 0 (independent of λ) and i = 1, 2. 43) (i = 1, 2) Ω with C > 0 independent of λ. 45) c± 1,λ = 1 2 ± Ω Ω ew1,λ e ± 2w1,λ + 4π 1 (N1 + N2 )(N2 − 9N1 ) + o( ) 9λ λ as λ → +∞. 43) we derive immediately that c± 2,λ → −∞, as λ → +∞. e. n in Ω. e. in Ω. Note in particular that, ew1,n → 1, ew2,n → ew± in Lp (Ω), ∀ p ≥ 1. 45), we find: ± ± ± −∆(w1,n + 2w2,n ) =3λn h2 ec2,n ew2,n (1 + ec1,n ew1,n − 2ec2,n ew2,n ) − 4π(2N2 + N1 ) =4π(2N2 + N1 ) h2 ew2,n 1 − w2,n |Ω| h e Ω 2 + φn in Ω ± p with c± i,n := ci,λn (i = 1, 2) and φn → 0 strongly in L (Ω), ∀ p ≥ 1.

Download PDF sample

Vortex condensates for the SU(3) Chern-Simons theory by Nolasco M., Tarantello G.

by Thomas

Rated 4.67 of 5 – based on 40 votes