Chin. Phys. Lett.  2013, Vol. 30 Issue (3): 031101    DOI: 10.1088/0256-307X/30/3/031101
THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS |
An Inverse Laplace Transform on Lattice Spacing
Hirofumi Yamada**
Division of Mathematics and Science, Chiba Institute of Technology, Shibazono 2-1-1, Narashino, Chiba 275-0023, Japan
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Hirofumi Yamada 2013 Chin. Phys. Lett. 30 031101
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Abstract An inverse Laplace transform on lattice spacing is introduced as a computational framework of the extrapolation of the strong coupling expansion to the scaling region. We apply the transform to the two-dimensional nonlinear O(N) model at N≥3 and show that the approximation of the continuum limit of the susceptibility agrees with the existing theoretical and Monte Carlo data.
Received: 24 September 2012      Published: 29 March 2013
PACS:  11.15.Me (Strong-coupling expansions)  
  11.15.Pg (Expansions for large numbers of components)  
  11.15.Tk (Other nonperturbative techniques)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/30/3/031101       OR      https://cpl.iphy.ac.cn/Y2013/V30/I3/031101
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Hirofumi Yamada
[1] Yamada H 2011 Phys. Rev. D 84 105025
[2] Yamada H 2009 J. Phys. G 36 025001
[3] Butera P and Comi M 1996 Phys. Rev. B 54 15828
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[5] Allés B, Caracciolo S, Pelissetto A and Pepe M 1999 Nucl. Phys. B 562 581
[6] Caracciolo S and Pelissetto A 1995 Nucl. Phys. B 455 619
[7] Shin D 1999 Nucl. Phys. B 546 669
[8] Edwards R G, Ferreira E Goodman J and Sokal A D 1992 Nucl. Phys. B 380 621
[9] Hasenfratz P, Maggiore M and Niedermayer M 1990 Phys. Lett. B 245 522
Hasenfratz P and Niedermayer F 1990 Phys. Lett. B 245 529
[10] Yamada H 2012 Braz. J. Phys. 42 445
[11] Caracciolo S, Edwards R G, Mendes T, Pelissetto A and Sokal A D 1995 Nucl. Phys. B (Proc. Suppl.) 47 763
[12] Allés B, Buonanno A and Cella G 1997 Nucl. Phys. B 500 513
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