reviews of color superconductivity: t. schaefer, hep-ph/0304281
DESCRIPTION
Reviews of color superconductivity: T. Schaefer, hep-ph/0304281 K. Rajagopal and F. Wilczek, hep-ph/0011333 G. Nardulli, hep-ph/0202037 Original LOFF papers: A.J. Larkin and Y. N. Ovchinnikov, Zh. Exsp. Teor. Fiz. 47 (1964) 1136 P. Fulde and R.A. Ferrel, Phys. Rev. 135 (1964) A550 - PowerPoint PPT PresentationTRANSCRIPT
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Reviews of color superconductivity:Reviews of color superconductivity:
T. Schaefer, hep-ph/0304281T. Schaefer, hep-ph/0304281
K. Rajagopal and F. Wilczek, hep-ph/0011333K. Rajagopal and F. Wilczek, hep-ph/0011333
G. Nardulli, hep-ph/0202037G. Nardulli, hep-ph/0202037
Original LOFF papers:Original LOFF papers:
A.J. Larkin and Y. N. Ovchinnikov, Zh. Exsp. Teor. Fiz. A.J. Larkin and Y. N. Ovchinnikov, Zh. Exsp. Teor. Fiz. 47 (1964) 113647 (1964) 1136
P. Fulde and R.A. Ferrel, Phys. Rev. 135 (1964) A550P. Fulde and R.A. Ferrel, Phys. Rev. 135 (1964) A550
Review of the LOFF phase:Review of the LOFF phase:
R. Casalbuoni and G. Nardulli, hep-ph/0305069R. Casalbuoni and G. Nardulli, hep-ph/0305069
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ppF2 F2 = =
ppF1 F1 = = – M– M22/2/2
ppFFcc = = – M – M22/4/44
M2
4M2
EE11(p(pFFcc)) = =
4M2
4M2
EEF1F1== EEF2F2 = =
EE22(p(pFFcc) = ) = MM22/4/4
2
4cFiFi
cF 16
M))p()(pp(
3
4
5
BCS2 75.0 BCS9.0|q|
2.1|q|
6
NormalNormal
LOFFLOFF
BCSBCS
weak couplingweak coupling strong couplingstrong coupling
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Tricritical point
General study by Combescot and Mora (2002). General study by Combescot and Mora (2002). Favored structureFavored structure 2 antipodal vectors2 antipodal vectors
At T = 0 the antipodal At T = 0 the antipodal vector leads to a second order vector leads to a second order phase transition. Another phase transition. Another tricritical point ? (Matsuo et tricritical point ? (Matsuo et al. 1998)al. 1998)
Change of crystalline Change of crystalline structure from tricritical to structure from tricritical to zero temperature?zero temperature?
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Two-dimensional case (Two-dimensional case (Shimahara 1998Shimahara 1998))
2
c
caNa T
TTb
2
1
0qqq
)]rqcos(
)rqcos()rq[cos(2)r(
]eee[)r(
)]qycos()qx[cos(2)r(
)rqcos(2)r(
e)r(
321
3
21hexa
rqirqirqitra
sqa
FFLOa
rqiFFa
321
Analysis close to the critical lineAnalysis close to the critical line
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Bowers & Rajagopal Bowers & Rajagopal (2002(2002))
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0)x(
4)x(
4)x(
11
|q|cos q
12
s,d,ui
iqeqees,d,ui
ii NNQNNN
0Qe
2
s,d,ui
iF2B )p(
3
1
3
1
Weak equilibrium:Weak equilibrium:
2s
2s
sFes
ddFed
uuFeu
Mp,3
1
p,3
1
p,3
2
Electrical neutrality:Electrical neutrality:
13)GG(
4
1G),G3G(
4
1G MEBMEA
iM
0E
G
G
ME GG
Relativistic Relativistic casecase
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RotationRotation
'nn
and translation byand translation by a
compensate locally atcompensate locally at PP
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LOFF window for one massless and one massive quarksLOFF window for one massless and one massive quarks