The renormalized electron mass in non-relativistic quantum electrodynamics

Journal of Functional Analysis

Volumn 243, Issue 2, 2007, Pages 426-535

  Bach, Volker ^a   Chen, Thomas ^b   Fröhlich, Jürg ^c,d   Sigal, Israel Michael ^e  

^a JOHANNES GUTENBERG UNIVERSITY   (Germany)

^b PRINCETON UNIVERSITY   (United States)

^c ETH ZURICH   (Switzerland)

^d INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES   (France)

^e UNIVERSITY OF TORONTO   (Canada)

Author keywords

Mass renormalization; Quantum electrodynamics; Renormalization group methods; Spectral analysis

Indexed keywords

EID: 33846270710     PISSN: 00221236     EISSN: 10960783     Source Type: Journal    
DOI: 10.1016/j.jfa.2006.09.017     Document Type: Article

References (20)

1. Bach V., Chen T., Fröhlich J., and Sigal I.M. Smooth Feshbach map and operator-theoretic renormalization group methods. J. Funct. Anal. 203 1 (2003) 44-92
2. V. Bach, J. Fröhlich, A. Pizzo, Infrared-finite algorithms in QED: I. The groundstate of an atom interacting with the quantized radiation field, preprint, 2005, mp_arc/05-52
3. Bach V., Fröhlich J., and Sigal I.M. Quantum electrodynamics of confined non-relativistic particles. Adv. Math. 137 2 (1998) 299-395
4. Bach V., Fröhlich J., and Sigal I.M. Renormalization group analysis of spectral problems in quantum field theory. Adv. Math. 137 (1998) 205-298
5. T. Chen, Operator-theoretic infrared renormalization and construction of dressed 1-particle states in non-relativistic QED, ETH dissertation 14203, 2001
6. Chen T. Infrared renormalization in non-relativistic QED and scaling criticality. submitted for publication. http://xxx.arxiv.org/abs/math-ph/0601010
7. Chen T., Vougalter V., and Vugalter S.A. The increase of binding energy and enhanced binding in non-relativistic QED. J. Math. Phys. 44 5 (2003) 1961-1970
8. Cohen-Tannoudji C., Dupont-Roc J., and Grynberg G. Atom-Photon Interactions (1992), Wiley, New York
9. Gross E.P. Particle-like solutions in field theory. Ann. Phys. 19 (1962) 219-233
10. Hainzl C., and Seiringer R. Mass renormalization and energy level shift in non-relativistic QED. Adv. Theor. Math. Phys. 6 5 (2003) 847-871
11. Hainzl C., Vougalter V., and Vugalter S.A. Enhanced binding in non-relativistic QED. Comm. Math. Phys. 233 1 (2003) 13-26
12. Hiroshima F., and Spohn H. Enhanced binding through coupling to a quantum field. Ann. Henri Poincaré 2 6 (2001) 1159-1187
13. Hiroshima F., and Spohn H. Mass renormalization in nonrelativistic quantum electrodynamics. J. Math. Phys. 46 4 (2005)
14. Lieb E.H., and Loss M. Self-energy of electrons in non-perturbative QED. Conférence Moshé Flato 1999, vol. I, Dijon. Math. Phys. Stud. vol. 21 (2000), Kluwer Acad. Publ., Dordrecht 327-344
15. Lieb E.H., and Loss M. A bound on binding energies and mass renormalization in models of quantum electrodynamics. J. Statist. Phys. 108 (2002)
16. Nelson E. Interaction of nonrelativistic particles with a quantized scalar field. J. Math. Phys. 5 (1964) 1190-1197
17. Pizzo A. One-particle (improper) states in Nelson's massless model. Ann. Henri Poincaré 4 3 (2003) 439-486
18. Sakurai J.J. Advanced Quantum Mechanics (1987), Addison-Wesley, Reading, MA
19. Schach Moller J. The polaron revisited. Rev. Math. Phys. 18 5 (2006) 485-517
20. Spohn H. Dynamics of Charged Particles and Their Radiation Field (2004), Cambridge Univ. Press, Cambridge