Appendix F: Geometric Aspects of Complex Vector Relationships

2011 ◽  
pp. 525-526
Keyword(s):  
2014 ◽  
Vol 29 (20) ◽  
pp. 1450094 ◽  
Author(s):  
Ya-Bo Wu ◽  
Jun-Wang Lu ◽  
Yong-Yi Jin ◽  
Jian-Bo Lu ◽  
Xue Zhang ◽  
...  

In the probe limit, we study the holographic p-wave phase transition in the Gauss–Bonnet gravity via numerical and analytical methods. Concretely, we study the influences of the external magnetic field on the Maxwell complex vector model in the five-dimensional Gauss–Bonnet–AdS black hole and soliton backgrounds, respectively. For the two backgrounds, the results show that the magnetic field enhances the superconductor phase transition in the case of the lowest Landau level, while the increasing Gauss–Bonnet parameter always hinders the vector condensate. Moreover, the Maxwell complex vector model is a generalization of the SU(2) Yang–Mills model all the time. In addition, the analytical results backup the numerical results. Furthermore, this model might provide a holographic realization for the QCD vacuum instability.


1968 ◽  
Vol 75 (8) ◽  
pp. 925
Author(s):  
Homer Bechtell ◽  
Frank S. Cater
Keyword(s):  

2014 ◽  
Vol 61 (4) ◽  
pp. 1855-1870 ◽  
Author(s):  
Weiwei Li ◽  
Xinbo Ruan ◽  
Chenlei Bao ◽  
Donghua Pan ◽  
Xuehua Wang

2014 ◽  
Vol 138 (4) ◽  
pp. 457-469 ◽  
Author(s):  
R.F. Barostichi ◽  
P.D. Cordaro ◽  
G. Petronilho

2011 ◽  
Vol 10 (3) ◽  
pp. 785-808
Author(s):  
François Treves

AbstractThe article discusses the local solvability (or lack thereof) of various classes of smooth, complex vector fields that vanish on some non-empty subset of the base manifold.


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