Summary
Recent criticisms raised against the finding of the « essential instability » of the perturbative ground state of a Yang Mills theory are analysed and shown to be unfounded. A brief description is given of a computation of the effective potential inSU 2lattice gauge theory which supports what has been found in the continuum theory. A short discussion of the consequences of our results upon the solution of the problems of colour confinement and hadronic behaviour is also presented.
Riassunto
Alcune critiche recenti all’« instabilità essenziale RA, del vuoto perturbativo di Yang-Mills, sono diseusse e rigettate. Si passano quindi in rassegna alcuni risultati sul calcolo del Potenziale effettivo sul reticolo, che corroborano quanto ottenuto sul continuo. Si discutono inoltre brevemente le conseguenze dell’mstabilità essenziale sulla soluzione del problema del confinamento e del comportamento adronico.
Резюме
Анализируется недав ний критицизм, связанный с обнаруже нием « существенной неуст ойчивости » пертурба ционного основного состояния вакуума в теории Янга-Миллса. П оказывается, что эта к ритика не обоснована. Предлага ется описание вычислений эффективного потенц иала в SU2 калибровочной теори и на решетке, который по дтверждает результа т, полученный в теории к онтинуума. Обсуждаются следств ия существенной неус тойчивости на решение проблем цв етного удержания и поведени я адронов.
Similar content being viewed by others
References
G. K. Savvidy:Phys. Lett. B,71, 133 (1977).
H. Pagels andE. Tomboulis:Nucl. Phys. B,143, 485 (1978).
N. K. Nielsen andP. Olesen:Nucl. Phys. B,144, 376 (1978);160, 380 (1979).
M. Consoli andG. Peepabata:Phys. Lett. B,154, 411 (1985).
G. Prepabata:Essential quantum instability of the perturbative Tang-Mills vacuum, preprint BA-GT/85-18 (to be published).
L. Maiani, G-. Mabtinelli, G. C. Rossi andM. Testa:Nucl. Phys. B,273, 275 (1986).
G. Preparata:Understanding the Yang-Mills ground state: the origin of colour confinement, preprint LNF-86/2(P) (to be published).
G. Preparata: QCDand the dynamics of confinement : a problem that is being solved, inProceedings of the International Conference on a European Hadron Facility, Mains (FRG),March 1986.
L. Cosmai andG. Preparata:Evidence against asymptotic freedom from SU2 lattice gauge theory, preprint BA/GT-86/06.
L. F. Abbott:Nuol. Phys. B,185, 169 (1981).
H. B. Nielsen andM. Ninomiya:Nucl. Phys. B,156, 1 (1979);J. Ambjorn andP. Olesen:Nucl. Phys. B,170, 60, 265 (1980).
J. M. Cornwall, R. Jackiw andE. T. Tomboulis:Phys. Rev. D,10, 2428 (1974).
P. Colangelo, L. Cosmai, M. Pellicoko andG-. Preparata:Phys. Lett. B,157, 77 (1985);Nuovo Cimento A,92, 1 (1986).
G. Preparata:Phys. Lett. B,102, 327 (1981).
G. Preparata:Nuovo Cimenio A,66, 205 (1981);J. L. Basdbvant, P. Colangelo andG. Preparata:Nuovo Cimento A,71, 445 (1982);P. Castorina, P. Cea, P. Colangelo, G. Nardulli andG. Preparata:Phys. Lett. B,115, 487 (1982);P. Cea, G. Nabdulli andG. Preparata:Z. Phys. C,16, 135 (1982).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Preparata, G. A constant chromomagnetic field leads (Probably) to the real QCD ground state. Nuov Cim A 96, 394–410 (1986). https://doi.org/10.1007/BF02833897
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02833897