Liftshitz-point critical behaviour to O(ϵ2)

Diehl, H.W.; Shpot, M.

doi:10.1088/0305-4470/34/42/401

Liftshitz-point critical behaviour to O(ϵ2)

Jun 25, 2001

5 pages

Published in:

J.Phys.A 34 (2001) 42, 9101-9105

Published: Oct 15, 2001

e-Print:

cond-mat/0106502 [cond-mat.stat-mech]

DOI:

10.1088/0305-4470/34/42/401

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Abstract: (submitter)

We comment on a recent letter by de Albuquerque and Leite (2001 J. Phys. A: Math. Gen. 34 L327), in which results to the second order in epsilon = 4 − d + m/2 were presented for the critical exponents νL2, ηL2 and γL2 of d-dimensional systems at m-axial Lifshitz points. We point out that their results are at variance with ours. The discrepancy is due to their incorrect computation of momentum-space integrals. Their speculation that the field-theoretic renormalization group approach, if performed in position space, might give results different from when it is performed in momentum space is refuted.

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[1]

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L.C. de Albuquerque
,
M.M. Leite

[2]

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,
M.M. Leite

e-Print:
- cond-mat/0006463

[3]

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H.W. Diehl
(
- Essen U. and
- Virginia Tech.
)
,
M. Shpot
(
- Essen U.
)

- Phys.Rev.B 62 (2000) 12338
•
e-Print:
- cond-mat/0006007
•
DOI:
- 10.1103/PhysRevB.62.12338

[4]

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M. Shpot
(
- Essen U.
)
,
H.W. Diehl
(
- Essen U.
)

- Nucl.Phys.B 612 (2001) 340-372
•
e-Print:
- cond-mat/0106105
•
DOI:
- 10.1016/S0550-3213(01)00309-1

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