• [1]

    W. J. Marciano and H. Pagels, Phys. Rept. 36, 137 (1978)

  • [2]

    J. C. Collins, Renormalization: An Introduction to Renormalization, The Renormalization Group, and the Operator Product Expansion, Cambridge Monographs on Mathematical Physics, Vol. 26 (Cambridge University Press, Cambridge, 1986)

  • [3]

    I. C. Cloet and C. D. Roberts, Prog. Part. Nucl. Phys. 77, 1 (2014)

  • [4]

    A. C. Aguilar, D. Binosi, and J. Papavassiliou, Front. Phys.(Beijing) 11, 111203 (2016)

  • [5]

    C. D. Roberts, Symmetry 12, 1468 (2020)

  • [6]

    C. D. Roberts, AAPPS Bull. 31, 6 (2021)

  • [7]

    J. Horak, F. Ihssen, J. Papavassiliou et al, arXiv: 2201.09747 [hep-ph]

  • [8]

    J. M. Cornwall, Nucl. Phys. B 157, 392 (1979)

  • [9]

    G. Parisi and R. Petronzio, Phys. Lett. B 94, 51 (1980)

  • [10]

    J. M. Cornwall, Phys. Rev. D 26, 1453 (1982)

  • [11]

    C. W. Bernard, Phys. Lett. B 108, 431 (1982)

  • [12]

    C. W. Bernard, Nucl. Phys. B 219, 341 (1983)

  • [13]

    J. F. Donoghue, Phys. Rev. D 29, 2559 (1984)

  • [14]

    J. Mandula and M. Ogilvie, Phys. Lett. B 185, 127 (1987)

  • [15]

    J. M. Cornwall and J. Papavassiliou, Phys. Rev. D 40, 3474 (1989)

  • [16]

    K. G. Wilson, T. S. Walhout, A. Harindranath et al., Phys. Rev. D 49, 6720 (1994)

  • [17]

    M. Lavelle, Phys. Rev. D 44, 26 (1991)

  • [18]

    F. Halzen, G. I. Krein, and A. A. Natale, Phys. Rev. D 47, 295 (1993)

  • [19]

    A. Mihara and A. A. Natale, Phys. Lett. B 482, 378 (2000)

  • [20]

    O. Philipsen, Nucl. Phys. B 628, 167 (2002)

  • [21]

    K.-I. Kondo, Phys. Lett. B 514, 335 (2001)

  • [22]

    A. C. Aguilar, A. A. Natale, and P. S. Rodrigues da Silva, Phys. Rev. Lett. 90, 152001 (2003)

  • [23]

    A. Athenodorou and M. Teper, JHEP 11, 172 (2020)

  • [24]

    A. Athenodorou and M. Teper, JHEP 12, 082 (2021)

  • [25]

    J. C. Collins, A. Duncan, and S. D. Joglekar, Phys. Rev. D 16, 438 (1977)

  • [26]

    S. J. Brodsky and R. Shrock, Phys. Lett. B 666, 95 (2008)

  • [27]

    J. Braun, H. Gies, and J. M. Pawlowski, Phys. Lett. B 684, 262 (2010)

  • [28]

    D. Binosi, L. Chang, J. Papavassiliou et al., Phys. Lett. B 742, 183 (2015)

  • [29]

    F. Gao, S.-X. Qin, C. D. Roberts et al., Phys. Rev. D 97, 034010 (2018)

  • [30]

    D. Binosi and J. Papavassiliou, Nucl. Phys. Proc. Suppl. 121, 281 (2003)

  • [31]

    A. C. Aguilar, D. Binosi, J. Papavassiliou et al., Phys. Rev. D 80, 085018 (2009)

  • [32]

    D. Binosi, C. Mezrag, J. Papavassiliou et al., Phys. Rev. D 96, 054026 (2017)

  • [33]

    Z.-F. Cui, J.-L. Zhang, D. Binosi et al., Chin. Phys. C 44, 083102 (2020)

  • [34]

    A. Cucchieri and T. Mendes, PoS LATTICE2007, 297 (2007)

  • [35]

    A. Cucchieri and T. Mendes, Phys. Rev. Lett. 100, 241601 (2008)

  • [36]

    I. Bogolubsky, E. Ilgenfritz, M. Muller-Preussker et al., PoS LATTICE2007, 290 (2007)

  • [37]

    I. Bogolubsky, E. Ilgenfritz, M. Muller-Preussker et al., Phys. Lett. B 676, 69 (2009)

  • [38]

    O. Oliveira and P. Silva, PoS LAT2009, 226 (2009)

  • [39]

    O. Oliveira and P. Bicudo, J. Phys. G 38, 045003 (2011)

  • [40]

    A. Cucchieri and T. Mendes, Phys. Rev. D 81, 016005 (2010)

  • [41]

    A. C. Aguilar, D. Binosi, and J. Papavassiliou, Phys. Rev. D 78, 025010 (2008)

  • [42]

    C. S. Fischer, A. Maas, and J. M. Pawlowski, Annals Phys. 324, 2408 (2009)

  • [43]

    D. Binosi, D. Ibañez, and J. Papavassiliou, Phys. Rev. D 86, 085033 (2012)

  • [44]

    J. Serreau and M. Tissier, Phys. Lett. B 712, 97 (2012)

  • [45]

    M. Tissier and N. Wschebor, Phys. Rev. D 82, 101701 (2010)

  • [46]

    A. C. Aguilar, D. Binosi, C. T. Figueiredo et al., Phys. Rev. D 94, 045002 (2016)

  • [47]

    M. Peláez, M. Tissier, and N. Wschebor, Phys. Rev. D 90, 065031 (2014)

  • [48]

    D. Dudal, J. A. Gracey, S. P. Sorella et al., Phys. Rev. D 78, 065047 (2008)

  • [49]

    J. Rodriguez-Quintero, J. High Energy Phys. 01, 105 (2011)

  • [50]

    M. R. Pennington and D. J. Wilson, Phys. Rev. D 84, 119901 (2011)

  • [51]

    J. Meyers and E. S. Swanson, Phys. Rev. D 90, 045037 (2014)

  • [52]

    F. Siringo, Nucl. Phys. B 907, 572 (2016)

  • [53]

    A. K. Cyrol, J. M. Pawlowski, A. Rothkopf et al., SciPost Phys. 5, 065 (2018)

  • [54]

    A. Cucchieri, T. Mendes, and E. M. S. Santos, Phys. Rev. Lett. 103, 141602 (2009)

  • [55]

    A. Cucchieri, T. Mendes, G. M. Nakamura et al., PoS FACESQCD, 026 (2010)

  • [56]

    P. Bicudo, D. Binosi, N. Cardoso et al., Phys. Rev. D 92, 114514 (2015)

  • [57]

    D. Epple, H. Reinhardt, W. Schleifenbaum et al., Phys. Rev. D 77, 085007 (2008)

  • [58]

    D. R. Campagnari and H. Reinhardt, Phys. Rev. D 82, 105021 (2010)

  • [59]

    A. C. Aguilar, D. Binosi, and J. Papavassiliou, Phys. Rev. D 95, 034017 (2017)

  • [60]

    S. D. Glazek, M. Gómez-Rocha, J. More et al., Phys. Lett. B 773, 172 (2017)

  • [61]

    P. O. Bowman, U. M. Heller, D. B. Leinweber et al., Phys. Rev. D 76, 094505 (2007)

  • [62]

    W. Kamleh, P. O. Bowman, D. B. Leinweber et al., Phys. Rev. D 76, 094501 (2007)

  • [63]

    A. Ayala, A. Bashir, D. Binosi et al., Phys. Rev. D 86, 074512 (2012)

  • [64]

    A. C. Aguilar, D. Binosi, and J. Papavassiliou, Phys. Rev. D 88, 074010 (2013)

  • [65]

    A. C. Aguilar, F. De Soto, M. N. Ferreira et al., Eur. Phys. J. C 80, 154 (2020)

  • [66]

    J. S. Schwinger, Phys. Rev. 125, 397 (1962)

  • [67]

    J. S. Schwinger, Phys. Rev. 128, 2425 (1962)

  • [68]

    C. D. Roberts and A. G. Williams, Prog. Part. Nucl. Phys. 33, 477 (1994)

  • [69]

    R. Alkofer and L. von Smekal, Phys. Rept. 353, 281 (2001)

  • [70]

    C. S. Fischer, J. Phys. G 32, R253 (2006)

  • [71]

    C. D. Roberts, Prog. Part. Nucl. Phys. 61, 50 (2008)

  • [72]

    D. Binosi and J. Papavassiliou, Phys. Rept. 479, 1 (2009)

  • [73]

    M. Q. Huber, Phys. Rept. 879, 1 (2020)

  • [74]

    J. M. Pawlowski, D. F. Litim, S. Nedelko et al., Phys. Rev. Lett. 93, 152002 (2004)

  • [75]

    J. M. Pawlowski, Annals Phys. 322, 2831 (2007)

  • [76]

    A. K. Cyrol, M. Mitter, J. M. Pawlowski et al., Phys. Rev. D 97, 054006 (2018)

  • [77]

    L. Corell, A. K. Cyrol, M. Mitter et al., SciPost Phys. 5, 066 (2018)

  • [78]

    J.-P. Blaizot, J. M. Pawlowski, and U. Reinosa, Annals Phys. 431, 168549 (2021)

  • [79]

    A. C. Aguilar, D. Ibanez, V. Mathieu et al., Phys. Rev. D 85, 014018 (2012)

  • [80]

    D. Ibañez and J. Papavassiliou, Phys. Rev. D 87, 034008 (2013)

  • [81]

    D. Binosi and J. Papavassiliou, Phys. Rev. D 97, 054029 (2018)

  • [82]

    A. C. Aguilar, D. Binosi, C. T. Figueiredo et al., Eur. Phys. J. C 78, 181 (2018)

  • [83]

    G. Eichmann, J. M. Pawlowski, and João M. Silva, Phys. Rev. D 104, 114016 (2021)

  • [84]

    J. M. Cornwall, J. Papavassiliou, and D. Binosi, The Pinch Technique and its Applications to Non-Abelian Gauge Theories, Vol. 31 (Cambridge University Press, 2010)

  • [85]

    A. Cucchieri, A. Maas, and T. Mendes, Phys. Rev. D 74, 014503 (2006)

  • [86]

    A. Cucchieri, A. Maas, and T. Mendes, Phys. Rev. D 77, 094510 (2008)

  • [87]

    A. Athenodorou, D. Binosi, P. Boucaud et al., Phys. Lett. B 761, 444 (2016)

  • [88]

    A. G. Duarte, O. Oliveira, and P. J. Silva, Phys. Rev. D 94, 074502 (2016)

  • [89]

    P. Boucaud, F. De Soto, K. Raya et al., Phys. Rev. D 98, 114515 (2018)

  • [90]

    J. Taylor, Nucl. Phys. B 33, 436 (1971)

  • [91]

    A. Slavnov, Theor. Math. Phys. 10, 99 (1972)

  • [92]

    E. Eichten and F. Feinberg, Phys. Rev. D 10, 3254 (1974)

  • [93]

    E. C. Poggio, E. Tomboulis, and S. H. H. Tye, Phys. Rev. D 11, 2839 (1975)

  • [94]

    J. Smit, Phys. Rev. D 10, 2473 (1974)

  • [95]

    J. Papavassiliou, Phys. Rev. D 41, 3179 (1990)

  • [96]

    A. C. Aguilar, M. N. Ferreira, and J. Papavassiliou, Phys. Rev. D 105, 014030 (2022)

  • [97]

    A. C. Aguilar and J. Papavassiliou, J. High Energy Phys. 12, 012 (2006)

  • [98]

    K.-I. Kondo, Prog. Theor. Phys. 122, 1455 (2010)

  • [99]

    D. Dudal, O. Oliveira, and J. Rodriguez-Quintero, Phys. Rev. D86, 105005 (2012)

  • [100]

    A. C. Aguilar, D. Ibañez, and J. Papavassiliou, Phys. Rev. D 87, 114020 (2013)

  • [101]

    A. K. Cyrol, L. Fister, M. Mitter et al., Phys. Rev. D 94, 054005 (2016)

  • [102]

    A. C. Aguilar, C. O. Ambrósio, F. De Soto et al., Phys. Rev. D 104, 054028 (2021)

  • [103]

    W. Schleifenbaum, A. Maas, J. Wambach et al., Phys. Rev. D 72, 014017 (2005)

  • [104]

    M. Q. Huber and L. von Smekal, J. High Energy Phys. 04, 149 (2013)

  • [105]

    M. Q. Huber, A. Maas, and L. von Smekal, J. High Energy Phys. 11, 035 (2012)

  • [106]

    A. Blum, M. Q. Huber, M. Mitter et al., Phys. Rev. D 89, 061703 (2014)

  • [107]

    G. Eichmann, R. Williams, R. Alkofer et al., Phys. Rev. D 89, 105014 (2014)

  • [108]

    R. Williams, C. S. Fischer, and W. Heupel, Phys. Rev. D 93, 034026 (2016)

  • [109]

    J. Papavassiliou, A. C. Aguilar, and M. N. Ferreira, Supl. Rev. Mex. Fis. 3, 0308112 (2022)

  • [110]

    A. C. Aguilar and J. Papavassiliou, Phys. Rev. D 81, 034003 (2010)

  • [111]

    R. Jackiw and K. Johnson, Phys. Rev. D 8, 2386 (1973)

  • [112]

    R. Jackiw, In *Erice 1973, Proceedings, Laws Of Hadronic Matter*, New York 1975, 225-251 and M I T Cambridge - COO-3069-190 (73, REC.AUG 74) 23p (1973)

  • [113]

    A. C. Aguilar, D. Binosi, D. Ibañez et al., Phys. Rev. D 89, 085008 (2014)

  • [114]

    D. Binosi and J. Papavassiliou, Phys. Rev. D 66, 025024 (2002)

  • [115]

    A. Hasenfratz and P. Hasenfratz, Phys. Lett. B 93, 165 (1980)

  • [116]

    B. Alles, D. Henty, H. Panagopoulos et al., Nucl. Phys. B 502, 325 (1997)

  • [117]

    A. I. Davydychev, P. Osland, and O. V. Tarasov, Phys. Rev. D 58, 036007 (1998)

  • [118]

    P. Boucaud, J. P. Leroy, J. Micheli et al., J. High Energy Phys. 10, 017 (1998)

  • [119]

    P. Boucaud, J. P. Leroy, J. Micheli et al., JHEP 12, 004 (1998)

  • [120]

    N. Nakanishi, Prog. Theor. Phys. Suppl. 43, 1 (1969)

  • [121]

    P. Maris and C. D. Roberts, Phys. Rev. C 56, 3369 (1997)

  • [122]

    M. Blank and A. Krassnigg, Comput. Phys. Commun. 182, 1391 (2011)

  • [123]

    A. C. Aguilar, D. Binosi, and J. Papavassiliou, Phys. Rev. D 89, 085032 (2014)

  • [124]

    P. Boucaud, F. De Soto, J. Leroy et al., Phys. Rev. D 79, 014508 (2009)

  • [125]

    L. von Smekal, K. Maltman, and A. Sternbeck, Phys. Lett. B 681, 336 (2009)

  • [126]

    P. Boucaud, D. Dudal, J. Leroy et al., J. High Energy Phys. 12, 018 (2011)

  • [127]

    A. C. Aguilar, F. De Soto, M. N. Ferreira et al., Phys. Lett. B 818, 136352 (2021)

  • [128]

    A. C. Aguilar, D. Binosi, and J. Papavassiliou, J. High Energy Phys. 07, 002 (2010)

  • [129]

    M. Gell-Mann and F. E. Low, Phys. Rev. 95, 1300 (1954)

  • [130]

    B. S. DeWitt, Phys. Rev. 162, 1195 (1967)

  • [131]

    J. Honerkamp, Nucl. Phys. B 48, 269 (1972)

  • [132]

    G. 't Hooft, Nucl. Phys. B 35, 167 (1971)

  • [133]

    R. E. Kallosh, Nucl. Phys. B 78, 293 (1974)

  • [134]

    H. Kluberg-Stern and J. B. Zuber, Phys. Rev. D 12, 482 (1975)

  • [135]

    L. Abbott, Nucl. Phys. B 185, 189 (1981)

  • [136]

    G. M. Shore, Annals Phys. 137, 262 (1981)

  • [137]

    L. F. Abbott, M. T. Grisaru, and R. K. Schaefer, Nucl. Phys. B 229, 372 (1983)

  • [138]

    A. C. Aguilar, M. N. Ferreira, C. T. Figueiredo et al., Phys. Rev. D 99, 034026 (2019)

  • [139]

    A. C. Aguilar, M. N. Ferreira, and J. Papavassiliou, Eur. Phys. J. C 80, 887 (2020)

  • [140]

    C. Parrinello, Phys. Rev. D 50, R4247 (1994)

  • [141]

    C. Parrinello, D. Richards, B. Alles et al., Nucl. Phys. B Proc. Suppl. 63, 245 (1998)

  • [142]

    A. Sternbeck, P.-H. Balduf, A. Kizilersu et al., PoS LATTICE2016, 349 (2017)

  • [143]

    M. Vujinovic and T. Mendes, Phys. Rev. D 99, 034501 (2019)

  • [144]

    P. Boucaud, F. De Soto, J. Rodríguez-Quintero et al., Phys. Rev. D 95, 114503 (2017)

  • [145]

    A. L. Blum, R. Alkofer, M. Q. Huber et al., Acta Phys. Polon. Supp. 8, 321 (2015)

  • [146]

    A. C. Aguilar, M. N. Ferreira, C. T. Figueiredo et al., Phys. Rev. D 99, 094010 (2019)

  • [147]

    A. Pilaftsis, Nucl. Phys. B 487, 467 (1997)

  • [148]

    D. Binosi and J. Papavassiliou, Phys. Rev. D 66, 111901 (2002)

  • [149]

    D. Binosi and J. Papavassiliou, Phys. Rev. D 77, 061702 (2008)

  • [150]

    D. Binosi and J. Papavassiliou, J. High Energy Phys. 11, 063 (2008)

  • [151]

    P. A. Grassi, T. Hurth, and M. Steinhauser, Annals Phys. 288, 197 (2001)

  • [152]

    D. Binosi and A. Quadri, Phys. Rev. D 88, 085036 (2013)

  • [153]

    A. C. Aguilar, D. Binosi, and J. Papavassiliou, J. High Energy Phys. 11, 066 (2009)

  • [154]

    K. G. Wilson, Phys. Rev. D 7, 2911 (1973)

  • [155]

    C. D. Roberts and C. Mezrag, EPJ Web Conf. 137, 01017 (2017)

  • [156]

    D. Binosi, Few Body Syst. 63, 42 (2022)