Abstract
The dimension four gluon condensate and the dimension six four-quark condensate are estimated with the help of FESR by analyzing the ρ-meson channel. We find that the first is a factor 2–5 and the second is (in absolute value) a factor 5–8 larger than the corresponding “standard values”. We have checked our results by the “heat evolution test” of Gauss transforms. They turn out to be consistent whereas the “standard values” are not.
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M.A. Shifman, A.I. Vainshtein, V.I. Zakharov: Nucl. Phys. B147 (1979) 385, 448, 519
A. Di Giacomo, Proceedings of the Workshop on Non-Perturbative Methods, Montpellier 1985, S. Narison (ed.) Singapore: World Scientific, 1986
S. Narison and E. de Rafael, Phys. Lett. 103B (1981) 57;
E. de Rafael: Current algebra quark masses in QCD, Proceedings of NSF-CNRS Joint Seminar on Recent Developments in QCD, June 1981, ed. J. Dash, CPT81/P1344 (1981);
S. Narison, N. Paver, E. de Rafael and D. Treleani, Nucl. Phys. B212 (1983) 365;
C.A. Dominguez and E. de Rafael, Ann. Phys. (N.Y.) 174 (1987) 372;
S. Narison, Lecture notes delivered at Gif Summer School Institute, Gif-sur-Yvette, 1986, to be published in the Proceedings, CERN-TH. 4624/86 and PM 86/35;
S. Narison. Rivista del Nuovo Cimento, Vol. 10, N02 (1987);
J. Gasser, H. Leutwyler: Phys. Rep. 87 (1982) 77
J.S. Bell, R.A. Bertlmann: Nucl. Phys. B177 (1981) 218;
J.S. Bell; R.A. Bertlmann: Nucl. Phys. B187 (1981) 285;
J.S. Bell, R.A. Bertlmann: Phys. Lett. 137B (1984) 107
A. Bradley, C.S. Langensiepen, G. Shaw: Phys. Lett. 102B (1981) 180, 359;
P. Ditsas, G. Shaw: Nucl. Phys. B229 (1983) 29;
P. Ditsas, G. Shaw: Phys. Lett. 116B (1982) 188
D.J. Broadhurst: Phys. Lett. 123B (1983) 251
J. Marrow, J. Parker, G. Shaw: Z. Phys. C—Particles and Fields 37 (1987) 103;
J. Marrow, G. Shaw: Z. Phys. C—Particles and Fields 33 (1986) 237
G. Launer, S. Narison, R. Tarrach: Z. Phys. C—Particles and Fields 26 (1984) 433
Y. Chung, H.G. Dosch, M. Kremer, D. Schall: Z. Phys. C—Particles and Fields 25 (1984), 151
M. Kremer, N.A., Papadopoulos, K. Schilcher: Phys. Lett. 143B (1984) 476
H.G. Dosch: Proceedings of the Workshop on Non-Perturbative Methods, Montpellier 1985, S. Narison (ed.) Singapore: World Scientific, 1986
J. Bordes, V. Gimenez, J.A. Peñarrocha: The ratios among condensates from e+e−(I=1) data, preprint, J. Gutenberg Universität Mainz (1987)
L.J. Reinders, H. Rubinstein, S. Yazaki: Phys. Rep. 127 (1985) 1;
E.V. Shuriak: Phys. Rep. 115 (1984) 151;
S.I. Eidelman, L.M. Kurdadze, A.I. Vainshtein: Phys. Lett. 82B (1979) 278;
B. Guberina, R. Meckbach, R.D. Peccei, R. Rückl: Nucl. Phys. B184 (1981) 476;
A. Zalewska, K. Zalewski: Phys. Lett. 133B (1983) 441;
A. Zalewska: K. Zalewski: Z. Phys. C—Particles and Fields 23 (1984) 233;
J. Fischer and P. Kolár, Z. Phys. C—Particles and Fields 35 (1987) 405;
C.A. Dominguez, J. Solà, preprint DESY 87-119, DESY-Hamburg (1987), Z. Phys. C (to be published)
R.A. Bertlmann, G. Launer, E. de Rafael: Nucl. Phys. B250 (1985) 61
A.A. Logunov, L.D. Soloviev, A.N. Tavkhelidze, Phys. Lett. 24B (1967) 181;
K.G. Chetyrkin, N.V. Krasnikov, A.N. Tavkhelidze: Phys. Lett. 76B (1978) 83;
K.G. Chetyrkin, N.V. Krasnikov; Nucl. Phys. B119 (1977) 174;
N.V. Krasnikov, A.A. Pivovarov, N.N. Tavkhelidze: Z. Phys. C—Particles and Fields 19 (1983) 301;
L.L. Jenkovszky, B.V. Struminsky: preprint ITP-83-8E, Academy of Sciences of Ukrainian SSR, Kiev (1983);
A.L. Kataev, N.V. Krasnikov, A.A. Pivovarov: Phys. Lett. 123B (1983) 93;
A.L. Kataev, N.V. Krasnikov, A.A. Pivovarov: Nuovo Cimento 76A (1983) 723;
S.G. Gorishny, A.L. Kataev, S.A. Larin: Phys. Lett. 135B (1984) 457;
A.L. Kataev, N.V. Krasnikov, A.A. Pivovarov: preprint P-0389, Academy of Sciences of the USSR, Moscow 1985
G. Launer, Z. Phys. C—Particles and Fields 32 (1986) 557;
S.S. Grigoryan, preprint IHEP83-49, Serpukhov (1983); Yad. Fiz. 39 (1984) 468;
I. Caprini, C. Verzegnazzi: Nuovo Cimento 90A (1985) 388;
K.J. Miller, M.G. Olsson: Phys. Rev. D25 (1982) 1247, 1253
J.J. Sakurai: Phys. Lett. 46B (1973) 207
A. Pich, E. de Rafael: Phys. Lett. 158B (1985) 477;
A. Pich, E. de Rafael: Proceedings of the Workshop on Non-Perturbative Methods, Montpellier 1985, S. Narison (ed.) Singapore: World Scientific, (1986);
A. Pich: preprint MPI-PAE/PTh 21/86, Max-Planck Institut für Physik und Astrophysik, München (1986); Talk presented at the XXIth Rencontre de Moriond (March 9–16, 1986), to appear in the Proceedings
B. Guberina, A. Pich, E. de Rafael: Phys. Lett. 163B (1985) 198;
A. Pich, B. Guberina, E. de Rafael: Nucl. Phys. B277 (1986) 197;
C.A. Dominguez, N. Paver: Z. Phys. C—Particles and Fields 31 (1986) 591;
C.A. Dominguez, N. Paver, Z. Phys. C—Particles and Fields 32 (1986) 391
W. Hubschmid, S. Mallik: Nucl. Phys. B207 (1982) 29
Particle Data Group. Phys. Lett. 170B (1986) 1
G.J. Gounaris, J.J. Sakurai: Phys. Rev. Lett. 21 (1968) 244
K. Ishikawa, J.J. Sakurai: Z. Phys. C—Particles and Fields 1 (1979) 117
J.S. Bell, R.A. Bertlmann, Z. Phys. C—Particles and Fields 4 (1980) 11;
R.A. Bertlmann: Acta Phys. Austr. 53 (1981) 305
S. Ciulli, T.D. Spearman: Phys. Rev. D27 (1983) 1580;
M. Ciulli, S. Ciulli, T.D. Spearman: J. Math. Phys. 25 (1984) 3194;
G. Auberson, G. Mennessier: preprint PM-87/29, Université des Sciences et Techniques du Languedoc, Montpellier (1987);
K. Schilcher: Proceedings of the Workshop on Non-Perturbative Methods, Montpellier, 1985, S. Narison (ed.) Singapore: World Scientific 1986
R.A. Bertlmann: Proceedings of the XVII International Symposium on Multiparticle Dynamics, Seewinkel 1986, M. Markytan, W. Majerotto, J. MacNaughton (eds.) Singapore: World Scientific 1987;
C.A. Dominguez, DESY Report No DESY-87-002 (1987), Proceedings of the International Workshop on Quarks, Gluons and Hadronic Matter R. Viollier (ed.) Singapore: World Scientific 1987
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On leave from Institut für Theoretische Physik, Universität Wien, Boltzmanngasse, 5, A-1090 Wien, Austria
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Bertlmann, R.A., Dominguez, C.A., Loewe, M. et al. Determination of the gluon condensate and the four quark condensate via FESR. Z. Phys. C - Particles and Fields 39, 231–240 (1988). https://doi.org/10.1007/BF01550999
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DOI: https://doi.org/10.1007/BF01550999