Knowledge (XXG)

Euler–Heisenberg Lagrangian

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Taverna, Roberto; Turolla, Roberto; Muleri, Fabio; Heyl, Jeremy; Zane, Silvia; Baldini, Luca; Caniulef, Denis González; Bachetti, Matteo; Rankin, John; Caiazzo, Ilaria; Di Lalla, Niccolò; Doroshenko, Victor; Errando, Manel; Gau, Ephraim; Kırmızıbayrak, Demet (2022-05-18). "Polarized x-rays from a
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of about 16% was measured and was claimed to be "large enough to support the presence of vacuum birefringence, as predicted by QED". Fan et al. pointed that their results are uncertain due to low accuracy of star model and the direction of the neutron magnetization axis.
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Mignani, R. P.; Testa, V.; González Caniulef, D.; Taverna, R.; Turolla, R.; Zane, S.; Wu, K. (2016-11-02). "Evidence for vacuum birefringence from the first optical-polarimetry measurement of the isolated neutron star RX J1856.5−3754".
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Fan, Xing; Kamioka, Shusei; Inada, Toshiaki; Yamazaki, Takayuki; Namba, Toshio; et al. (2017). "The OVAL experiment: a new experiment to measure vacuum magnetic birefringence using high repetition pulsed magnets".
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Akhmadaliev, Sh. Zh.; Kezerashvili, G. Ya.; Klimenko, S. G.; Lee, R. N.; Malyshev, V. M.; et al. (2002-07-19). "Experimental Investigation of High-Energy Photon Splitting in Atomic Fields".
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was measured in 2002. Light-by-light scattering can be studied using the strong electromagnetic fields of the hadrons collided at the LHC, and its observation was reported by the
838:). The star is surrounded by a very strong magnetic field (10 G), and birefringence is expected from the vacuum polarization described by the Euler–Heisenberg Lagrangian. A 1020:
Akhmadaliev, Sh. Zh.; Kezerashvili, G. Ya.; Klimenko, S. G.; Malyshev, V. M.; Maslennikov, A. L.; et al. (1998-11-01). "Delbrück scattering at energies of 140–450 MeV".
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d’Enterria, David; da Silveira, Gustavo G. (22 August 2013). "Observing Light-by-Light Scattering at the Large Hadron Collider".
758:{\displaystyle {\mathcal {L}}={\frac {1}{2}}\left(\mathbf {E} ^{2}-\mathbf {B} ^{2}\right)+{\frac {2\alpha ^{2}}{45m^{4}}}\left.} 2383: 2286: 2266: 1906: 851: 2189: 1948: 1943: 831:
In 2016 a team of astronomers from Italy, Poland, and the U.K. reported observations of the light emitted by a neutron star (
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to one loop, and is valid for electromagnetic fields that change slowly compared to the inverse electron mass,
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Heisenberg, W.; Euler, H. (1936). "Folgerungen aus der Diracschen Theorie des Positrons".
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In July 2021 the first known observation of vacuum birefringence was reported by the
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Michael Schirber (22 Aug 2013). "Synopsis: Spotlight on Photon-Photon Scattering".
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Karplus, Robert; Neuman, Maurice (1951-08-15). "The Scattering of Light by Light".
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and Maurice Neuman calculated the full amplitude, which is very small.
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in 1936. By treating the vacuum as a medium, it predicts rates of
1233: 1164: 814: 810: 806: 59: 1506:"Collisions of Light Produce Matter/Antimatter from Pure Energy" 862: 821: 1902: 1640: 548:{\displaystyle {\mathcal {G}}=\mathbf {E} \cdot \mathbf {B} } 570: 524: 450: 379: 340: 318: 305: 251: 238: 99: 86: 820:. No signal has been found and searches continue. OSQAR at 865:
has hinted the possibility of vacuum birefringence on
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was also studied although only evidence was reported.
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beams crossing magnetic fields to detect effects from
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American Physical Society (APS): 080405. 1914: 1652: 8: 1617:"X-ray polarisation probes extreme physics" 1281:"ATLAS observes light scattering off light" 2011: 1921: 1907: 1899: 1659: 1645: 1637: 1568: 1457: 1392: 1308: 1232: 1163: 1094: 1033: 741: 731: 723: 705: 694: 689: 679: 674: 653: 638: 628: 614: 609: 599: 594: 578: 569: 568: 566: 540: 532: 523: 522: 520: 494: 489: 479: 474: 458: 449: 448: 446: 409: 395: 378: 377: 371: 348: 339: 338: 317: 316: 304: 303: 293: 250: 249: 237: 236: 226: 200: 194: 162: 138: 133: 120: 107: 98: 97: 85: 84: 82: 809:is searching for vacuum polarization of 27:Effective quantum electrodynamics action 926: 791:was observed in 1953 by Robert Wilson. 1999:Two-dimensional conformal field theory 1332: 558:In the weak field limit, this becomes 7: 1359:Breaking Science News | Sci-News.com 1339:: CS1 maint: unflagged free DOI ( 139: 25: 2494:Template:Quantum mechanics topics 1887:Template:Quantum mechanics topics 1440:STAR Collaboration (2021-07-27). 2489: 2488: 1882: 1881: 1759:Anomalous magnetic dipole moment 732: 724: 690: 675: 610: 595: 541: 533: 490: 475: 1381:The European Physical Journal D 861:In May 2022 the first study of 852:Relativistic Heavy Ion Collider 1510:Brookhaven National Laboratory 1476:10.1103/PhysRevLett.127.052302 1251:10.1103/PhysRevLett.111.080405 1182:10.1103/physrevlett.111.080405 368: 358: 191: 181: 1: 1113:10.1103/physrevlett.89.061802 46:. It was first obtained by 2458:Quantum information science 1682:Euler–Heisenberg Lagrangian 32:Euler–Heisenberg Lagrangian 18:Euler-Heisenberg Lagrangian 2539: 1411:10.1140/epjd/e2017-80290-7 2518:Electromagnetic radiation 2483: 1873: 1697:Path integral formulation 1865:Photon-photon scattering 1052:10.1103/physrevc.58.2844 824:is also studying vacuum 770:photon–photon scattering 2513:Quantum electrodynamics 2154:2D free massless scalar 2047:Quantum electrodynamics 1974:QFT in curved spacetime 1809:Ward–Takahashi identity 1692:Gupta–Bleuler formalism 1668:Quantum electrodynamics 1587:10.1126/science.add0080 1446:Physical Review Letters 1221:Physical Review Letters 1152:Physical Review Letters 1083:Physical Review Letters 62:interaction processes. 56:quantum electrodynamics 2475:Quantum thermodynamics 2399:On shell and off shell 2394:Loop quantum cosmology 2236:N = 4 super Yang–Mills 2195:N = 1 super Yang–Mills 2062:Scalar electrodynamics 2052:Quantum chromodynamics 1954:Conformal field theory 1930:Quantum field theories 999:10.1103/physrev.83.776 936:Zeitschrift für Physik 890:Chiral magnetic effect 840:degree of polarization 759: 549: 509: 437:is the electron mass, 424: 70:It takes into account 40:electromagnetic fields 2448:Quantum hydrodynamics 2443:Quantum hadrodynamics 2067:Scalar chromodynamics 1830:Breit–Wheeler process 1769:Klein–Nishina formula 1319:10.1093/mnras/stw2798 910:Electric polarization 856:Breit–Wheeler process 760: 550: 510: 441:the electron charge, 425: 2419:Quantum fluctuations 2389:Loop quantum gravity 1959:Lattice field theory 795:splitting in strong 565: 519: 445: 81: 2453:Quantum information 2057:Quartic interaction 1845:Delbrück scattering 1799:Vacuum polarization 1723:Faddeev–Popov ghost 1579:2022Sci...378..646T 1468:2021PhRvL.127e2302A 1403:2017EPJD...71..308F 1243:2013PhRvL.111h0405D 1174:2013PhRvL.111h0405D 1105:2002PhRvL..89f1802A 1044:1998PhRvC..58.2844A 991:1951PhRv...83..776K 948:1936ZPhy...98..714H 801:ATLAS Collaboration 785:Delbrück scattering 143: 72:vacuum polarization 52:Hans Heinrich Euler 36:non-linear dynamics 2339:Nambu–Jona-Lasinio 2267:Higher dimensional 2174:Wess–Zumino–Witten 1964:Noncommutative QFT 1840:Compton scattering 956:10.1007/bf01343663 942:(11–12): 714–732. 885:Circular dichroism 755: 545: 505: 420: 129: 2523:Werner Heisenberg 2500: 2499: 2362: 2361: 1896: 1895: 1855:Møller scattering 1825:Bhabha scattering 1794:Uehling potential 1743:Virtual particles 1563:(6620): 646–650. 1022:Physical Review C 905:Uehling potential 660: 586: 466: 415: 356: 336: 328: 261: 127: 48:Werner Heisenberg 16:(Redirected from 2530: 2492: 2491: 2409:Quantum dynamics 2082:Yang–Mills–Higgs 2037:Non-linear sigma 2027:Euler–Heisenberg 2012: 1923: 1916: 1909: 1900: 1885: 1884: 1860:Schwinger effect 1661: 1654: 1647: 1638: 1632: 1631: 1629: 1628: 1613: 1607: 1606: 1572: 1551: 1545: 1544: 1542: 1541: 1526: 1520: 1519: 1517: 1516: 1502: 1496: 1495: 1461: 1437: 1431: 1430: 1396: 1375: 1369: 1368: 1366: 1365: 1351: 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2317:Particle theory 2312: 2291: 2240: 2214: 2178: 2142: 2096:Low dimensional 2091: 2032:Ginzburg–Landau 2003: 1994:Topological QFT 1932: 1927: 1897: 1892: 1891: 1869: 1813: 1804:Vertex function 1789:Schwinger limit 1764:Furry's theorem 1747: 1701: 1687:Feynman diagram 1670: 1665: 1635: 1626: 1624: 1615: 1614: 1610: 1553: 1552: 1548: 1539: 1537: 1528: 1527: 1523: 1514: 1512: 1504: 1503: 1499: 1439: 1438: 1434: 1377: 1376: 1372: 1363: 1361: 1353: 1352: 1348: 1331: 1293: 1292: 1288: 1279: 1278: 1274: 1218: 1217: 1213: 1149: 1148: 1144: 1080: 1079: 1075: 1019: 1018: 1014: 979:Physical Review 976: 975: 971: 933: 932: 928: 924: 919: 895:Schwinger limit 875: 848:STAR experiment 836:RX J1856.5−3754 797:magnetic fields 782: 722: 718: 717: 688: 673: 672: 668: 667: 666: 662: 649: 645: 634: 630: 608: 593: 592: 588: 563: 562: 517: 516: 488: 473: 472: 468: 443: 442: 438: 434: 405: 397: 367: 302: 298: 286: 282: 269: 235: 231: 219: 215: 202: 190: 180: 176: 158: 154: 150: 116: 112: 79: 78: 68: 28: 23: 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2301: 2300: 2298: 2294: 2288: 2285: 2283: 2280: 2278: 2275: 2273: 2270: 2268: 2265: 2263: 2260: 2258: 2255: 2253: 2252:Pure 4D N = 1 2250: 2249: 2247: 2243: 2237: 2234: 2232: 2229: 2227: 2224: 2223: 2221: 2217: 2211: 2208: 2206: 2203: 2201: 2198: 2196: 2193: 2191: 2188: 2187: 2185: 2181: 2175: 2172: 2170: 2167: 2165: 2162: 2160: 2157: 2155: 2152: 2151: 2149: 2145: 2139: 2136: 2134: 2133:Thirring–Wess 2131: 2129: 2126: 2124: 2121: 2119: 2116: 2114: 2111: 2109: 2108:Bullough–Dodd 2106: 2104: 2103:2D Yang–Mills 2101: 2100: 2098: 2094: 2088: 2085: 2083: 2080: 2078: 2075: 2073: 2070: 2068: 2065: 2063: 2060: 2058: 2055: 2053: 2050: 2048: 2045: 2043: 2040: 2038: 2035: 2033: 2030: 2028: 2025: 2023: 2020: 2019: 2017: 2013: 2010: 2006: 2000: 1997: 1995: 1992: 1990: 1987: 1985: 1982: 1980: 1979:String theory 1977: 1975: 1972: 1970: 1967: 1965: 1962: 1960: 1957: 1955: 1952: 1950: 1949:Axiomatic QFT 1947: 1945: 1944:Algebraic QFT 1942: 1941: 1939: 1935: 1931: 1924: 1919: 1917: 1912: 1910: 1905: 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2019-03-17. 1282: 1276: 1273: 1268: 1264: 1260: 1256: 1252: 1248: 1244: 1240: 1235: 1230: 1227:(8): 080405. 1226: 1222: 1215: 1212: 1207: 1203: 1199: 1195: 1191: 1187: 1183: 1179: 1175: 1171: 1166: 1161: 1157: 1153: 1146: 1143: 1138: 1134: 1130: 1126: 1122: 1118: 1114: 1110: 1106: 1102: 1097: 1092: 1089:(6): 061802. 1088: 1084: 1077: 1074: 1069: 1065: 1061: 1057: 1053: 1049: 1045: 1041: 1036: 1031: 1027: 1023: 1016: 1013: 1008: 1004: 1000: 996: 992: 988: 984: 980: 973: 970: 965: 961: 957: 953: 949: 945: 941: 938:(in German). 937: 930: 927: 921: 916: 913: 911: 908: 906: 903: 901: 898: 896: 893: 891: 888: 886: 883: 881: 880:Birefringence 878: 877: 872: 870: 868: 864: 859: 857: 853: 849: 844: 841: 837: 834: 829: 827: 826:birefringence 823: 819: 816: 812: 808: 804: 802: 798: 794: 790: 786: 779: 777: 775: 771: 768:It describes 752: 748: 742: 737: 728: 719: 714: 711: 706: 701: 695: 685: 680: 669: 663: 654: 650: 646: 639: 635: 631: 625: 621: 615: 605: 600: 589: 583: 580: 575: 561: 560: 559: 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Index

Euler-Heisenberg Lagrangian
non-linear dynamics
electromagnetic fields
vacuum
Werner Heisenberg
Hans Heinrich Euler
quantum electrodynamics
light
vacuum polarization
photon–photon scattering
Robert Karplus
Delbrück scattering
gamma rays
Photon
magnetic fields
ATLAS Collaboration
PVLAS
laser
axion
dark matter
CERN
birefringence
pulsar
RX J1856.5−3754
degree of polarization
STAR experiment
Relativistic Heavy Ion Collider
Breit–Wheeler process
IXPE
4U 0142+61

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