Self-consistent solution of the simultaneous Schwinger-Dyson equation in strong coupling QED

Journal Article · Sun Jun 07 04:00:00 EDT 1992 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S021773239200118X· OSTI ID:7287277

Kondo, K ^[1]; Mino, H ^[2]; Nakatani, H ^[3]

---

1. Chiba Univ. (Japan). Dept. of Physics
2. Yamanashi Univ., Kofu (Japan). Faculty of Engineering
3. Ishikawa Polytechnic College, Anamizu, Ishikawa 927 (JP)

In the strong coupling region of QED, the authors have obtained a numerical solution to the simultaneous Schwinger-Dyson equation for the fermion and the photon propagators. In this paper, it is shown that there is a critical point separating the spontaneous-chiral-symmetry-breaking (strong coupling) phase and the weak coupling phase. The critical point is consistently interpreted as the second order phase transition point at which the continuum limit of cutoff QED may be taken. The vacuum polarization function obtained in this framework exhibits essentially the same asymptotic uv behavior as that predicted from the one-loop calculation. The scaling behavior is not inconsistent with the mean-field result as predicted from the one-loop case, which favors the triviality of QED.

• OSTI ID: 7287277
• Journal Information: International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 7:17; ISSN 0217-751X; ISSN IMPAE
• Country of Publication: United States
• Language: English

Related Subjects

662220* -- Quantum Electrodynamics-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CHIRAL SYMMETRY
COUPLING
DYSON REPRESENTATION
ELECTRODYNAMICS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
MASSLESS PARTICLES
NUMERICAL SOLUTION
PHASE TRANSFORMATIONS
PHOTONS
PROPAGATOR
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
SCALING LAWS
SCHWINGER SOURCE THEORY
SYMMETRY
SYMMETRY BREAKING
WILSON LOOP