Fetching the paper…
Reading the bibliography…
We propose a mathematically rigorous construction of the scattering matrix and the interacting fields in models of relativistic perturbative quantum field theory with massless fields and long-range interactions.
Hirai, H., Sugishita, S., Dressed states from gauge invariance, JHEP 06, 023 (2019), arXiv: 1901.09935
1901
Earlier work this paper cites.
Collins, J., A new approach to the LSZ reduction formula (2019), arXiv: 1904.10923
1904
Earlier work this paper cites.
Bloch, F., Nordsieck, A., Note on the radiation field of the electron, Phys. Rev. 52(2), 54–59 (1937)
1937
Earlier work this paper cites.
Wigner, E., On unitary representations of the inhomogeneous Lorentz group, Ann. Math. , 149–204 (1939)
1939
Earlier work this paper cites.
Dyson, F. J., The Radiation Theories of Tomonaga, Schwinger, and Feynman, Phys. Rev. 75, 486–502 (3 1949)
1949
Earlier work this paper cites.
Schiff, L. I., Quantum mechanics , McGraw-Hill Book Company, 1949
1949
Earlier work this paper cites.
Bleuler, K., Eine neue Methode zur Behandlung der longitudinalen und skalaren Photonen, Helv. Phys. Acta 23(5), 567–586 (1950)
1950
Earlier work this paper cites.
Gupta, S. N., Theory of longitudinal photons in quantum electrodynamics, Proc. Phys. Soc. London, Sect. A 63(7), 681 (1950)
1950
Earlier work this paper cites.
Landau, L. D., Pomeranchuk, I. Y., On point interactions in quantum electrodynamics, In: Dokl. Akad. Nauk Ser. Fiz. , vol. 102, 1955, 489
1955
Earlier work this paper cites.
Lehmann, H., Symanzik, K. Zimmermann, W., Zur formulierung quantisierter feldtheorien, German, Il Nuovo Cimento 1(1), 205–225 (1955)
1955
Earlier work this paper cites.
Lojasiewicz, S., Sur la valeur et la limite d’une distribution en un point, Studia mathematica 16(1), 1–36 (1957)
1957
Earlier work this paper cites.
Bogoliubov, N. N., Shirkov, D. V., Introduction to the theory of quantized fields , Interscience Publishers, 1959
1959
Earlier work this paper cites.
Murota, T., On radiative corrections due to soft photons, Prog. Theor. Phys. 24(5), 1109–1117 (1960)
1960
Earlier work this paper cites.
Yennie, D., Frautschi, S. C. Suura, H., The infrared divergence phenomena and high-energy processes, Ann. Phys. 13(3), 379–452 (1961)
1961
Earlier work this paper cites.
Schroer, B., Infrateilchen in der Quantenfeldtheorie, Fortschr. Phys. 11(1), 1–31 (1963)
1963
Earlier work this paper cites.
Dollard, J., Asymptotic convergence and the Coulomb interaction, J. Math. Phys. 5(6), 729–738 (1964)
1964
Earlier work this paper cites.
Chung, V., Infrared divergence in quantum electrodynamics, Phys. Rev. 140(4B), B1110–B1122 (1965)
1965
Earlier work this paper cites.
Weinberg, S., Infrared photons and gravitons, Phys. Rev. 140(2B), B516 (1965)
1965
Earlier work this paper cites.
Wightman, A. S., Garding, L., Fields as operator-valued distributions in relativistic quantum theory, Ark. Fys. 28, 129–184 (1965)
1965
Earlier work this paper cites.
Dollard, J., Velo, G., Asymptotic behaviour of a Dirac particle in a Coulomb field, Il Nuovo Cimento A 45(4), 801–812 (1966)
1966
Earlier work this paper cites.
Dollard, J. D., Adiabatic switching in the Schrödinger theory of scattering, J. Math. Phys. 7(5), 802–810 (1966)
1966
Earlier work this paper cites.
Jaffe, A., Wick polynomials at a fixed time, J. Math. Phys. 7(7), 1250–1255 (1966)
1966
Earlier work this paper cites.
Kibble, T., Coherent Soft-Photon States and Infrared Divergences. I. Classical Currents, J. Math. Phys. 9(2), 315–324 (1968)
1968
Earlier work this paper cites.
Kibble, T., Coherent Soft-Photon States and Infrared Divergences. II. Mass-Shell Singularities of Green’s Functions, Phys. Rev. 173(5), 1527 (1968)
1968
Earlier work this paper cites.
Mandelstam, S., Feynman rules for electromagnetic and Yang-Mills fields from the gauge-independent field-theoretic formalism, Phys. Rev. 175(5), 1580 (1968)
1968
Earlier work this paper cites.
Kulish, P., Faddeev, L., Asymptotic conditions and infrared divergences in quantum electrodynamics, Theor. Math. Phys. 4(2), 745–757 (1970)
1970
Earlier work this paper cites.
Steinmann, O., Perturbative expansion in axiomatic field theory , Lecture Notes in Physics, Springer, 1971
1971
Earlier work this paper cites.
Epstein, H., Glaser, V., The role of locality in perturbation theory, Ann. Inst. H. Poincaré Sec. A 19(3), 211–295 (1973)
1973
Earlier work this paper cites.
Gastmans, R., Meuldermans, R., Dimensional regularization of the infrared problem, Nucl. Phys. B 63, 277–284 (1973)
1973
Earlier work this paper cites.
Becchi, C., Rouet, A., Stora, R., Renormalization of the abelian Higgs-Kibble model, Commun. Math. Phys. 42(2), 127–162 (1975)
1975
Earlier work this paper cites.
Blanchard, P., Seneor, R., Green’s functions for theories with massless particles (in perturbation theory), Ann. Inst. H. Poincaré Sec. A 23(2), 147–209 (1975)
1975
Earlier work this paper cites.
Sirlin, W., Dimensional regularization of infrared divergences, Nucl. Phys. B 88(17) (1975)
1975
Earlier work this paper cites.
Tyutin, I. V., Gauge invariance in field theory and statistical physics in operator formalism, Preprint of P.N. Lebedev Physical Institute, No. 39 (1975), arXiv: 0812.0580
1975
Earlier work this paper cites.
Zwanziger, D., Scattering theory for quantum electrodynamics. I. Infrared renormalization and asymptotic fields, Phys. Rev. D 11(12), 3481 (1975)
1975
Earlier work this paper cites.
Zwanziger, D., Scattering theory for quantum electrodynamics. II. Reduction and cross-section formulas, Phys. Rev. D 11(12), 3504 (1975)
1975
Earlier work this paper cites.
Becchi, C., Rouet, A., Stora, R., Renormalization of gauge theories, Ann. Phys. 98(2), 287–321 (1976)
1976
Cited alongside, same era.
Epstein, H., Glaser, V., Adiabatic limit in perturbation theory, In: Velo, G. and Wightman, A. S. (eds.), Renormalization theory , 193–254, Springer, 1976
1976
Cited alongside, same era.
Jauch, J., Rohrlich, F., The Theory of Photons and Electrons: The Relativistic Quantum Field Theory of Charged Particles with Spin One-half , Springer, 1976
1976
Cited alongside, same era.
Lowenstein, J., Convergence theorems for renormalized Feynman integrals with zero-mass propagators, Commun. Math. Phys. 47(1), 53–68 (1976)
1976
Cited alongside, same era.
Papanicolaou, N., Infrared problems in quantum electrodynamics, Phys. Rep. 24(4), 229–313 (1976)
1976
Cited alongside, same era.
Hollands, S., Wald, R. M., Local Wick polynomials and time ordered products of quantum fields in curved spacetime, Commun. Math. Phys. 223(2), 289–326 (2001), arXiv: gr-qc/0103074
2001
Later among the works it cites.
Pinter, G., Finite renormalizations in the Epstein Glaser framework and renormalization of the S-matrix of Φ 4 \Phi^{4} -theory, Ann. Phy., Leipzig 10, 333–363 (2001), arXiv: hep-th/9911063
2001
Later among the works it cites.
Hollands, S., Wald, R. M., Existence of local covariant time ordered products of quantum fields in curved spacetime, Commun. Math. Phys. 231(2), 309–345 (2002), arXiv: gr-qc/0111108
2002
Later among the works it cites.
Dereziński, J., Van Hove Hamiltonians – exactly solvable models of the infrared and ultraviolet problem, Ann. H. Poincaré 4(4), 713–738 (2003)
2003
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Breitenlohner, P., Maison, D., Dimensionally renormalized Green’s functions for theories with massless particles. I, Commun. Math. Phys. 52(1), 39–54 (1977)
1977
Cited alongside, same era.
Breitenlohner, P., Maison, D., Dimensionally renormalized Green’s functions for theories with massless particles. II, Commun. Math. Phys. 52(1), 55–75 (1977)
1977
Cited alongside, same era.
Buchholz, D., Collision theory for massless bosons, Commun. Math. Phys. 52(2), 147–173 (1977)
1977
Cited alongside, same era.
Reed, M., Simon, B., Methods of Modern Mathematical Physics, Vol. IV , Academic Press, 1978
1978
Cited alongside, same era.
Frohlich, J., Morchio, G., Strocchi, F., Infrared problem and spontaneous breaking of the Lorentz group in QED, Phys. Lett. B 89, 61–64 (1979)
1979
Cited alongside, same era.
Fröhlich, J., Morchio, G., Strocchi, F., Charged sectors and scattering states in quantum electrodynamics, Ann. Phys. 119(2), 241–284 (1979)
1979
Cited alongside, same era.
Reed, M., Simon, B., Methods of Modern Mathematical Physics, Vol. III , Academic Press, 1979
1979
Cited alongside, same era.
2004
Later among the works it cites.
Dütsch, M., Fredenhagen, K., Causal perturbation theory in terms of retarded products, and a proof of the Action Ward Identity, Rev. Math. Phys. 16(10), 1291–1348 (2004), arXiv: hep-th/0403213
2004
Later among the works it cites.
Pizzo, A., Scattering of an Infraparticle: The One Particle Sector in Nelson’s Massless Model, Ann. H. Poincaré 6(3), 553–606 (2005)
2005
Later among the works it cites.
Fredenhagen, K., Quantenfeldtheorie. Unpublished notes from lectures held at Hamburg University , 2006
2006
Later among the works it cites.
Blanes, S., Casas, F., Oteo, J., Ros, J., The Magnus expansion and some of its applications, Phys. Rep. 470(5–6), 151–238 (2009), arXiv: 0810.5488
2009
Later among the works it cites.
Chen, T., Fröhlich, J., Pizzo, A., Infraparticle scattering states in nonrelativistic quantum electrodynamics. II. Mass shell properties, J. Math. Phys. 50(1), 012103 (2009), arXiv: 0709.2812
2009
Later among the works it cites.
Chen, T., Fröhlich, J., Pizzo, A., Infraparticle scattering states in non-relativistic quantum electrodynamics: I. The Bloch-Nordsieck paradigm, Commun. Math. Phys. 294(3), 761–825 (2010), arXiv: 0709.2493
2010
Later among the works it cites.
Haag, R., Local quantum physics: Fields, particles, algebras , Springer, 2012
2012
Later among the works it cites.
Herdegen, A., Infrared limit in external field scattering, J. Math. Phys. 53(5), 052306 (2012), arXiv: 1202.4308
2012
Later among the works it cites.
Bieri, L., Garfinkle, D., An electromagnetic analogue of gravitational wave memory, Class. Quantum Gravity 30(19), 195009 (2013), arXiv: 1307.5098
2013
Later among the works it cites.
Strocchi, F., An introduction to non-perturbative foundations of quantum field theory , Oxford University Press, 2013
2013
Later among the works it cites.
Buchholz, D., Roberts, J. E., New Light on Infrared Problems: Sectors, Statistics, Symmetries and Spectrum, Commun. Math. Phys. 330, 935–972 (2014)
2014
Later among the works it cites.
Scharf, G., Finite Quantum Electrodynamics: The Causal Approach , Dover Publications, 2014
2014
Later among the works it cites.
Campiglia, M., Laddha, A., Asymptotic symmetries of QED and Weinberg’s soft photon theorem, JHEP 7, 115 (2015), arXiv: 1505.05346
2015
Later among the works it cites.
Fredenhagen, K., Rejzner, K., Perturbative construction of models of algebraic quantum field theory, In: Brunetti, R., Dappiaggi, C., Fredenhagen, K., Yngvason, J. (eds.), Advances in Algebraic Quantum Field Theory , 31–74, Springer, 2015, arXiv: 1503.07814
2015
Later among the works it cites.
Gabai, B., Sever, A., Large gauge symmetries and asymptotic states in QED, JHEP 2016(12), 95 (2016), arXiv: 1607.08599
2016
Later among the works it cites.
Gomez, C., Panchenko, M., Asymptotic dynamics, large gauge transformations and infrared symmetries (2016), arXiv: 1608.05630
2016
Later among the works it cites.
Hawking, S. W., Perry, M. J., Strominger, A., Soft hair on black holes, Phys. Rev. Lett. 116(23), 231301 (2016), arXiv: 1601.00921
2016
Later among the works it cites.
Morchio, G., Strocchi, F., Dynamics of Dollard asymptotic variables. Asymptotic fields in Coulomb scattering, Rev. Math. Phys. 28(01), 1650001 (2016), arXiv: 1410.5612
2016
Later among the works it cites.
Morchio, G., Strocchi, F., The infrared problem in QED: A lesson from a model with Coulomb interaction and realistic photon emission, Ann. H. Poincaré 17(10), 2699–2739 (2016), arXiv: 1410.7289
2016
Later among the works it cites.
Scharf, G., Gauge Field Theories: Spin One and Spin Two: 100 Years After General Relativity , Dover Publications, 2016
2016
Later among the works it cites.
Duch, P., Massless fields and adiabatic limit in quantum field theory, PhD thesis, Jagiellonian University, 2017, arXiv: 1709.09907
2017
Later among the works it cites.
Dybalski, W., From Faddeev–Kulish to LSZ. Towards a non-perturbative description of colliding electrons, Nucl. Phys. B 925, 455–469 (2017), arXiv: 1706.09057
2017
Later among the works it cites.
Garfinkle, D., Hollands, S., Ishibashi, A., Tolish, A., Wald, R. M., The memory effect for particle scattering in even spacetime dimensions, Class. Quantum Gravity 34(14), 145015 (2017), arXiv: 1702.00095
2017
Later among the works it cites.
Herdegen, A., Asymptotic structure of electrodynamics revisited, Lett. Math. Phys. 107(8), 1439–1470 (2017), arXiv: 1604.04170
2017
Later among the works it cites.
Kapec, D., Perry, M., Raclariu, A., Strominger, A., Infrared divergences in QED revisited, Phys. Rev. D 96(8), 085002 (2017), arXiv: 1705.04311
2017
Later among the works it cites.
Strominger, A., Lectures on the infrared structure of gravity and gauge theory (2017), arXiv: 1703.05448
2017
Later among the works it cites.
Cardoso, L. T., Mund, J., Várilly, J. C., String chopping and time-ordered products of linear string-localized quantum fields, Math. Phys. Anal. Geom. 21(1), 3 (2018), arXiv: 1709.03429
2018
Later among the works it cites.
Duch, P., Weak adiabatic limit in quantum field theories with massless particles, Ann. H. Poincaré 3(19), 875–935 (2018), arXiv: 1801.10147
2018
Later among the works it cites.
Dütsch, M., From classical field theory to perturbative quantum field theory , Birkhäuser, 2019
2019
Closest in time.