Abstract
QED is the most thoroughly studied quantum field theory. The predictions up to the order O(e 8) perturbation expansion have been confronted with the experiments with success1 and the manner how ultraviolet divergences are handled is supported by the phenomenology related to the axial anomaly2. But QED cannot be reduced to a set of the Feynman diagrams, there are phenomena which are inherently non-perturbative in their nature. The well known examples are the bound state formation and the strong interactions at short distances. They can be handled by resumming an infinite subset of Feynman diagrams by methods such as the Bethe-Salpeter equation3 and the renormalization group4.
This work is supported in part by funds provided by the U. S. Department of Energy (D.O.E.) raider contract #DE-ACO2-76ER03069.
On leave of absence from CRIP, Budapest, HUNGARY
Supported in part by the Alfred P. Sloan Foundation and the NSF-PYI grant PHY-8958079.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
T. Kinoshita and W. B. Lindquist, ‘Eight-order magnetic Moment of the Electron’, Cornell Preprint, CLNS 90–980.
S. Adler, Phys. Rev. 177 (1969). 2426; J. Bell and R. Jackiw, Nuovo Cimento 60A (1969) 47.
H. A. Bethe and E. E. Salpeter, Phys. Rev. 82 (1951) 309; N. Nakanishi, Suppl. Progr. Theor. Phys. 43 (1969) 1.
K. Wilson and J. Kogut, Phys. Rep. 12 (1974) 75; D. Amit, Field Theory, the Renormalization Group and Critical Phenomena (World Scientific, 1984); J. Collins, Renormalization (Cambridge University Press, 1984)-.
V. B. Berestetsky, E. M. Lifshitz and L. P. Pitaevsky, Quantum Electrodynamics (Pergamon Press, 1959), eq. (82.7).
V. A. Miransky and P. I. Fomin, Soy. J. Part. Nucl. 16 (1985) 203; P. I. Fomin, V. P. Gusynin, V. A. Miransky and Yu. A. Sitenko, Riv. Nuovo Cimento 6 (1983) 1; W. A. Bardeen, C. N. Leung and S. T. Love, Phys. Rev. Lett. 56 (1986) 1230; C. N. Leung, S. T. Love and W. A. Bardeen, Nucl. Phys. B237 (1986) 649.
J. Kogut, E. Dagotto and A. Kocic, Phys. Rev. Lett. 60 (1988) 772; S. J. Hands, J. B. Kogut and E. Dagotto, Nucl. Phys. B333 (1990) 551; M. Göckeler et. al., Nucl. Phys. B334 (1990) 527; S. P. Booth, R. D. Kenway and B. J. Pendleton, Phys. Lett. 228B (1989) 115; E. Dagotto, A. Kocic and J. Kogut, Phys. Rev. Lett. 61 (1988) 2416: Nucl. Phys. B317 (1989) 253.
A. Guth, Phys. Rev. D21 1980) 2291; C. B. Lang, Nucl. Phys. B280 (1987) 225.
J. Ambjorn, J. Greensite and C. Peterson, Nucl. Phys. B221 (1983) 381.
D. G. Caldi and A. Chodos, Phys. Rev. D36 (1987) 2876.
J. Schweppe, et. al., Phys. Rev. Lett. 51 (1983) 2261; M. Clemente, et. al., Phys. Lett,. B137 (1954) 41; for a recent summary see H. Bokemeyer’s and W. Koenig’s talk at the School.
L. I. Schiff, H. Snyder and J. Weinberg, Phys. Rev. 57 (1940) 315; Y. B. Zeldovich and V. S. Popov, Soy. Phys. Usp. 14 (1972) 673; B. Müller, H. Peitz, J. Rafelski and W. Greiner, Phys. Rev. Lett. 28 (1972) 1235; B. Müller, J. Rafelski and W. Greiner, Z. Phys. 257 (1972) 62, 183; for a review see W. Greiner, B. Müller and J. Rafelski. Quantum Electrodynamics of Strong Fields (Springer, 1985 ).
M. C. Chu, S. Huang and J. Polonyi, “Non-Perturbative Effects in QED with Chemical Potential,” MIT preprint CTP#1920, submitted to Nuclear Physics.
J. Polonyi, in Quark-Gluon Plasma ( World Publisher, 1990 ), R. Hwa, ed.
M. C. Clin and J. Polonyi. unpublished.
J. Schwinger, Phys. Rey. 82 (1951) 664.
A. Chodos, K. Everding and D. Owen, QED with Chemical potential: I. Case of constant magnetic field.. Yale Preprint, April, 1990.
C. Itzykson and J. Zuber, Quantum Field Theory, McGraw-Hill Book Company, 1980.
A. A. Abrikosov. L. P. Gorkov and I. E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics, (Dover, 1963); A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems, (McGraw-Hill Book Company, 1971); B. A. Freedman and L. D. McLerran, Phys. Rev. D16 (1977) 1130.
T. D. Lee and M. Nauenberg, Phys. Rev. 133 (1963) B1549; T. D. Lee, Particle Physics and Introduction to Field Theory (Harwood Academic Publishers, 1985 ).
F. Bloch and A. Nordsieck, Phys. Rev. 52 (1937) 54.
T. Kinoshita., J. Math. Phys. 3 (1962) 650;
F. Bloch, Z. Phys. 57 (1920), 545.
E. P. Wigner, Trans. Farad. Soc. 34 (1938) 678; W. J. Carr, Phys. Rev. 122 (1961) 1437.
P. W. Anderson, Phys. Rev. (1958) 1492.
L. Lellouch and J. Polonyi, in preparation.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Plenum Press, New York
About this chapter
Cite this chapter
Polonyi, J. (1991). Non-Perturbative External Field Effects in QED. In: Fried, H.M., Müller, B. (eds) Vacuum Structure in Intense Fields. NATO ASI Series, vol 255. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0441-9_14
Download citation
DOI: https://doi.org/10.1007/978-1-4757-0441-9_14
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-0443-3
Online ISBN: 978-1-4757-0441-9
eBook Packages: Springer Book Archive