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Volumn 33, Issue 32, 2000, Pages 5675-5691

Series expansions for lattice Green functions

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EID: 0034682682     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/33/32/306     Document Type: Article
Times cited : (14)

References (41)
  • 2
    • 23544450858 scopus 로고
    • Quelques problèmes de probabilité se rapportant à la promenade au hasard
    • Pólya G 1919 Quelques problèmes de probabilité se rapportant à la promenade au hasard (Some problems of probability associated with the random walk) L'Enseignement Mathématique 20 444-5
    • (1919) L'Enseignement Mathématique , vol.20 , pp. 444-445
    • Pólya, G.1
  • 3
    • 0000275183 scopus 로고
    • Uber eine aufgabe der wahrscheinlichkeitsrechnung betreffend die irrfahrt im straßennetz
    • Pólya G 1921 Uber eine Aufgabe der Wahrscheinlichkeitsrechnung betreffend die Irrfahrt im Straßennetz (On a theorem of probability calculus concerning wandering in a network of streets) Math. Ann. 83 149-60
    • (1921) Math. Ann. , vol.83 , pp. 149-160
    • Pólya, G.1
  • 4
    • 23544435175 scopus 로고
    • Cambridge, MA: MIT Press
    • Pólya G 1984 Collected Papers vol 4 (Cambridge, MA: MIT Press) pp 69-80
    • (1984) Collected Papers , vol.4 , pp. 69-80
    • Pólya, G.1
  • 8
    • 0041828393 scopus 로고    scopus 로고
    • 3D physics and the electroweak phase transition: A framework for lattice Monte Carlo analysis
    • See, for example, Farakos K, Kajantie K, Rummukainen K and Shaposhnikov M 1995 3D physics and the electroweak phase transition: a framework for lattice Monte Carlo analysis Nucl. Phys. B 442 317-63 (Farakos K, Kajantie K, Rummukainen K and Shaposhnikov M 1994 Preprint hep-lat/9412091) Moore G D 1997 Curing O(a) errors in 3D lattice SU(2) × U(1) Higgs theory Nucl. Phys. B 493 439-74 (Moore G D 1996 Preprint hep-lat/9610013) Arnold P 1997 Hot B violation, the lattice, and hard thermal loops Phys. Rev. D 55 7781-96 (Arnold P 1997 Preprint hep-ph/9701393)
    • (1995) Nucl. Phys. B , vol.442 , pp. 317-363
    • Farakos, K.1    Kajantie, K.2    Rummukainen, K.3    Shaposhnikov, M.4
  • 9
    • 0041828393 scopus 로고    scopus 로고
    • Preprint hep-lat/9412091
    • See, for example, Farakos K, Kajantie K, Rummukainen K and Shaposhnikov M 1995 3D physics and the electroweak phase transition: a framework for lattice Monte Carlo analysis Nucl. Phys. B 442 317-63 (Farakos K, Kajantie K, Rummukainen K and Shaposhnikov M 1994 Preprint hep-lat/9412091) Moore G D 1997 Curing O(a) errors in 3D lattice SU(2) × U(1) Higgs theory Nucl. Phys. B 493 439-74 (Moore G D 1996 Preprint hep-lat/9610013) Arnold P 1997 Hot B violation, the lattice, and hard thermal loops Phys. Rev. D 55 7781-96 (Arnold P 1997 Preprint hep-ph/9701393)
    • (1994)
    • Farakos, K.1    Kajantie, K.2    Rummukainen, K.3    Shaposhnikov, M.4
  • 10
    • 0031587008 scopus 로고    scopus 로고
    • Curing O(a) errors in 3D lattice SU(2) × U(1) Higgs theory
    • See, for example, Farakos K, Kajantie K, Rummukainen K and Shaposhnikov M 1995 3D physics and the electroweak phase transition: a framework for lattice Monte Carlo analysis Nucl. Phys. B 442 317-63 (Farakos K, Kajantie K, Rummukainen K and Shaposhnikov M 1994 Preprint hep-lat/9412091) Moore G D 1997 Curing O(a) errors in 3D lattice SU(2) × U(1) Higgs theory Nucl. Phys. B 493 439-74 (Moore G D 1996 Preprint hep-lat/9610013) Arnold P 1997 Hot B violation, the lattice, and hard thermal loops Phys. Rev. D 55 7781-96 (Arnold P 1997 Preprint hep-ph/9701393)
    • (1997) Nucl. Phys. B , vol.493 , pp. 439-474
    • Moore, G.D.1
  • 11
    • 0041828393 scopus 로고    scopus 로고
    • Preprint hep-lat/9610013
    • See, for example, Farakos K, Kajantie K, Rummukainen K and Shaposhnikov M 1995 3D physics and the electroweak phase transition: a framework for lattice Monte Carlo analysis Nucl. Phys. B 442 317-63 (Farakos K, Kajantie K, Rummukainen K and Shaposhnikov M 1994 Preprint hep-lat/9412091) Moore G D 1997 Curing O(a) errors in 3D lattice SU(2) × U(1) Higgs theory Nucl. Phys. B 493 439-74 (Moore G D 1996 Preprint hep-lat/9610013) Arnold P 1997 Hot B violation, the lattice, and hard thermal loops Phys. Rev. D 55 7781-96 (Arnold P 1997 Preprint hep-ph/9701393)
    • (1996)
    • Moore, G.D.1
  • 12
    • 0000883734 scopus 로고    scopus 로고
    • Hot B violation, the lattice, and hard thermal loops
    • See, for example, Farakos K, Kajantie K, Rummukainen K and Shaposhnikov M 1995 3D physics and the electroweak phase transition: a framework for lattice Monte Carlo analysis Nucl. Phys. B 442 317-63 (Farakos K, Kajantie K, Rummukainen K and Shaposhnikov M 1994 Preprint hep-lat/9412091) Moore G D 1997 Curing O(a) errors in 3D lattice SU(2) × U(1) Higgs theory Nucl. Phys. B 493 439-74 (Moore G D 1996 Preprint hep-lat/9610013) Arnold P 1997 Hot B violation, the lattice, and hard thermal loops Phys. Rev. D 55 7781-96 (Arnold P 1997 Preprint hep-ph/9701393)
    • (1997) Phys. Rev. D , vol.55 , pp. 7781-7796
    • Arnold, P.1
  • 13
    • 0041828393 scopus 로고    scopus 로고
    • Preprint hep-ph/9701393
    • See, for example, Farakos K, Kajantie K, Rummukainen K and Shaposhnikov M 1995 3D physics and the electroweak phase transition: a framework for lattice Monte Carlo analysis Nucl. Phys. B 442 317-63 (Farakos K, Kajantie K, Rummukainen K and Shaposhnikov M 1994 Preprint hep-lat/9412091) Moore G D 1997 Curing O(a) errors in 3D lattice SU(2) × U(1) Higgs theory Nucl. Phys. B 493 439-74 (Moore G D 1996 Preprint hep-lat/9610013) Arnold P 1997 Hot B violation, the lattice, and hard thermal loops Phys. Rev. D 55 7781-96 (Arnold P 1997 Preprint hep-ph/9701393)
    • (1997)
    • Arnold, P.1
  • 14
    • 0030597253 scopus 로고    scopus 로고
    • Lattice discretization in quantum scattering
    • Adhikari S K, Frederico T and Marinho RM 1996 Lattice discretization in quantum scattering J. Phys. A: Math. Gen. 29 7157 (Adhikari S K, Frederico T and Marinho R M 1997 Preprint hep-th/9707231)
    • (1996) J. Phys. A: Math. Gen. , vol.29 , pp. 7157
    • Adhikari, S.K.1    Frederico, T.2    Marinho, R.M.3
  • 15
    • 0030597253 scopus 로고    scopus 로고
    • Preprint hep-th/9707231
    • Adhikari S K, Frederico T and Marinho RM 1996 Lattice discretization in quantum scattering J. Phys. A: Math. Gen. 29 7157 (Adhikari S K, Frederico T and Marinho R M 1997 Preprint hep-th/9707231)
    • (1997)
    • Adhikari, S.K.1    Frederico, T.2    Marinho, R.M.3
  • 16
    • 0039468520 scopus 로고    scopus 로고
    • Application of the lattice Green function for calculating the resistance of an infinite grid of resistors
    • Preprint cond-mat/9909120 at press
    • Cserti J 1999 Application of the lattice Green function for calculating the resistance of an infinite grid of resistors Preprint cond-mat/9909120 (Am. J. Phys. at press)
    • (1999) Am. J. Phys.
    • Cserti, J.1
  • 17
    • 0032512975 scopus 로고    scopus 로고
    • Lattice two-point functions and conformal invariance
    • Henkel M and Karevski D 1998 Lattice two-point functions and conformal invariance J. Phys. A: Math. Gen. 31 2503 (Henkel M and Karevski D 1997 Preprint cond-mat/9711265)
    • (1998) J. Phys. A: Math. Gen. , vol.31 , pp. 2503
    • Henkel, M.1    Karevski, D.2
  • 18
    • 0032512975 scopus 로고    scopus 로고
    • Preprint cond-mat/9711265
    • Henkel M and Karevski D 1998 Lattice two-point functions and conformal invariance J. Phys. A: Math. Gen. 31 2503 (Henkel M and Karevski D 1997 Preprint cond-mat/9711265)
    • (1997)
    • Henkel, M.1    Karevski, D.2
  • 19
    • 26344454224 scopus 로고
    • Lattice Green function (at 0) for the 4d hypercubic lattice
    • Glasser M L and Guttmann A J 1994 Lattice Green function (at 0) for the 4d hypercubic lattice J. Phys. A: Math. Gen. 27 7011-14 (Glasser M L and Guttmann A J 1994 Preprint cond-mat/9408097) Glasser M L and Boersma J 2000 Exact values for the cubic lattice Green function J. Phys. A: Math. Gen. 33 5017-23
    • (1994) J. Phys. A: Math. Gen. , vol.27 , pp. 7011-7014
    • Glasser, M.L.1    Guttmann, A.J.2
  • 20
    • 26344454224 scopus 로고
    • Preprint cond-mat/9408097
    • Glasser M L and Guttmann A J 1994 Lattice Green function (at 0) for the 4d hypercubic lattice J. Phys. A: Math. Gen. 27 7011-14 (Glasser M L and Guttmann A J 1994 Preprint cond-mat/9408097) Glasser M L and Boersma J 2000 Exact values for the cubic lattice Green function J. Phys. A: Math. Gen. 33 5017-23
    • (1994)
    • Glasser, M.L.1    Guttmann, A.J.2
  • 21
    • 0034697917 scopus 로고    scopus 로고
    • Exact values for the cubic lattice Green function
    • Glasser M L and Guttmann A J 1994 Lattice Green function (at 0) for the 4d hypercubic lattice J. Phys. A: Math. Gen. 27 7011-14 (Glasser M L and Guttmann A J 1994 Preprint cond-mat/9408097) Glasser M L and Boersma J 2000 Exact values for the cubic lattice Green function J. Phys. A: Math. Gen. 33 5017-23
    • (2000) J. Phys. A: Math. Gen. , vol.33 , pp. 5017-5023
    • Glasser, M.L.1    Boersma, J.2
  • 22
    • 0343210924 scopus 로고
    • Two-loop relation between the bare lattice coupling and the MS coupling in pure SU(N) gauge theories
    • Lüscher M and Weisz P 1995 Two-loop relation between the bare lattice coupling and the MS coupling in pure SU(N) gauge theories Phys. Lett. B 349 165 (Lüscher M and Weisz P 1995 Preprint hep-lat/9502001)
    • (1995) Phys. Lett. B , vol.349 , pp. 165
    • Lüscher, M.1    Weisz, P.2
  • 23
    • 0343210924 scopus 로고
    • Preprint hep-lat/9502001
    • Lüscher M and Weisz P 1995 Two-loop relation between the bare lattice coupling and the MS coupling in pure SU(N) gauge theories Phys. Lett. B 349 165 (Lüscher M and Weisz P 1995 Preprint hep-lat/9502001)
    • (1995)
    • Lüscher, M.1    Weisz, P.2
  • 24
    • 0001438799 scopus 로고
    • Coordinate space methods for the evaluation of Feynman diagrams in lattice field theories
    • Lüscher M and Weisz P 1995 Coordinate space methods for the evaluation of Feynman diagrams in lattice field theories Nucl. Phys. B 445 429 (Lüscher M and Weisz P 1995 Preprint hep-lat/9502017)
    • (1995) Nucl. Phys. B , vol.445 , pp. 429
    • Lüscher, M.1    Weisz, P.2
  • 25
    • 0001438799 scopus 로고
    • Preprint hep-lat/9502017
    • Lüscher M and Weisz P 1995 Coordinate space methods for the evaluation of Feynman diagrams in lattice field theories Nucl. Phys. B 445 429 (Lüscher M and Weisz P 1995 Preprint hep-lat/9502017)
    • (1995)
    • Lüscher, M.1    Weisz, P.2
  • 26
    • 0032504349 scopus 로고    scopus 로고
    • Application of a coordinate space method for the evaluation of lattice Feynman diagrams in two dimensions
    • Shin D-S 1998 Application of a coordinate space method for the evaluation of lattice Feynman diagrams in two dimensions Nucl. Phys. B 525 457-82 (Shin D-S 1997 Preprint hep-lat/9706014)
    • (1998) Nucl. Phys. B , vol.525 , pp. 457-482
    • Shin, D.-S.1
  • 27
    • 0032504349 scopus 로고    scopus 로고
    • Preprint hep-lat/9706014
    • Shin D-S 1998 Application of a coordinate space method for the evaluation of lattice Feynman diagrams in two dimensions Nucl. Phys. B 525 457-82 (Shin D-S 1997 Preprint hep-lat/9706014)
    • (1997)
    • Shin, D.-S.1
  • 28
    • 0040653927 scopus 로고
    • Position space calculation of a two-loop lattice diagram
    • Friedberg R and Martin O 1990 Position space calculation of a two-loop lattice diagram J. Phys. A: Math. Gen. 23 1575-87
    • (1990) J. Phys. A: Math. Gen. , vol.23 , pp. 1575-1587
    • Friedberg, R.1    Martin, O.2
  • 29
    • 0039468508 scopus 로고    scopus 로고
    • Asymptotic expansion of the lattice scalar propagator in coordinate space
    • Paladini B and Sexton J C 1999 Asymptotic expansion of the lattice scalar propagator in coordinate space Phys. Lett. B 448 76-84 (Paladini B and Sexton J C 1998 Preprint hep-lat/9805021)
    • (1999) Phys. Lett. B , vol.448 , pp. 76-84
    • Paladini, B.1    Sexton, J.C.2
  • 30
    • 0039468508 scopus 로고    scopus 로고
    • Preprint hep-lat/9805021
    • Paladini B and Sexton J C 1999 Asymptotic expansion of the lattice scalar propagator in coordinate space Phys. Lett. B 448 76-84 (Paladini B and Sexton J C 1998 Preprint hep-lat/9805021)
    • (1998)
    • Paladini, B.1    Sexton, J.C.2
  • 34
    • 77957289671 scopus 로고
    • Three triple integrals
    • Watson G N 1939 Three triple integrals Quart. J. Math. 10 266-76
    • (1939) Quart. J. Math. , vol.10 , pp. 266-276
    • Watson, G.N.1
  • 35
    • 0002770026 scopus 로고
    • Lattice Green function for the simple cubic lattice
    • Joyce GS 1972 Lattice Green function for the simple cubic lattice J. Phys. A: Math. Gen. 5 L65-8 Joyce G S 1973 On the simple cubic lattice Green function Phil. Trans. R. Soc. A 273 583-610
    • (1972) J. Phys. A: Math. Gen. , vol.5
    • Joyce, G.S.1
  • 36
    • 0011279040 scopus 로고
    • On the simple cubic lattice Green function
    • Joyce GS 1972 Lattice Green function for the simple cubic lattice J. Phys. A: Math. Gen. 5 L65-8 Joyce G S 1973 On the simple cubic lattice Green function Phil. Trans. R. Soc. A 273 583-610
    • (1973) Phil. Trans. R. Soc. A , vol.273 , pp. 583-610
    • Joyce, G.S.1
  • 38
    • 0001441139 scopus 로고
    • Critical properties of the spherical model
    • ed C Domb and M S Green (New York: Academic)
    • Joyce G S 1972 Critical properties of the spherical model Phase Transitions and Critical Phenomena ed C Domb and M S Green (New York: Academic) vol 2, pp 375-442 Stanley H E 1968 Spherical model as the Limit of infinite spin dimensionality Phys. Rev. 176 718-22
    • (1972) Phase Transitions and Critical Phenomena , vol.2 , pp. 375-442
    • Joyce, G.S.1
  • 39
    • 36049054483 scopus 로고
    • Spherical model as the limit of infinite spin dimensionality
    • Joyce G S 1972 Critical properties of the spherical model Phase Transitions and Critical Phenomena ed C Domb and M S Green (New York: Academic) vol 2, pp 375-442 Stanley H E 1968 Spherical model as the Limit of infinite spin dimensionality Phys. Rev. 176 718-22
    • (1968) Phys. Rev. , vol.176 , pp. 718-722
    • Stanley, H.E.1
  • 40
    • 0000343133 scopus 로고
    • Complex temperature singularities for the two-dimensional Heisenberg O(∞) model
    • Butera P, Comi M, Marchesini G and Onofri E 1989 Complex temperature singularities for the two-dimensional Heisenberg O(∞) model Nucl. Phys. B 326 758-74
    • (1989) Nucl. Phys. B , vol.326 , pp. 758-774
    • Butera, P.1    Comi, M.2    Marchesini, G.3    Onofri, E.4
  • 41
    • 51249182458 scopus 로고
    • The evaluation of Green's functions for cubic lattices, revisited
    • Montaldi E 1981 The evaluation of Green's functions for cubic lattices, revisited Lett. Nuovo Cimento 30 403-9
    • (1981) Lett. Nuovo Cimento , vol.30 , pp. 403-409
    • Montaldi, E.1


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