KLWMIJ Reggeon field theory beyond the large Nc limit

Tolga Altinoluk; Néstor Armesto; Alex Kovner; Eugene Levin; Michael Lublinsky

doi:https://doi.org/10.1007/JHEP08(2014)007

KLWMIJ Reggeon field theory beyond the large N_c limit

Tolga Altinoluk, Néstor Armesto, Alex Kovner, Eugene Levin, Michael Lublinsky

Tel Aviv University, Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

Abstract: We extend the analysis of KLWMIJ evolution in terms of QCD Reggeon fields beyond leading order in the 1/N_c expansion. We show that there is only one type of corrections to the leading order Hamiltonian discussed in [1]. These are terms linear in original Reggeons and quadratic in conjugate Reggeon operators. All of these have the interpretation as vertices of the “‘merging”’ type 2 → 1, where two Reggeons merge into one. Importantly, the triple Pomeron merging vertex does not emerge from the KLWMIJ Hamiltonian. We show that, although in the range of applicability of the KLWMIJ Hamiltonian these merging terms are subleading in N_c, in the dense-dense regime they all become of the same (leading) order in N_c. In this regime vertices involving higher Reggeons are enhanced by inverse powers of the coupling constant.

Original language	English
Article number	7
Pages (from-to)	1-27
Number of pages	27
Journal	Journal of High Energy Physics
Volume	2014
Issue number	8
DOIs	https://doi.org/10.1007/JHEP08(2014)007
State	Published - 1 Aug 2014

Keywords

1/N Expansion
QCD

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Access to Document

https://doi.org/10.1007/JHEP08(2014)007

Cite this

@article{e9fc341139a84c71b58fa3eaa450017d,

title = "KLWMIJ Reggeon field theory beyond the large Nc limit",

abstract = "Abstract: We extend the analysis of KLWMIJ evolution in terms of QCD Reggeon fields beyond leading order in the 1/Nc expansion. We show that there is only one type of corrections to the leading order Hamiltonian discussed in [1]. These are terms linear in original Reggeons and quadratic in conjugate Reggeon operators. All of these have the interpretation as vertices of the “{\textquoteleft}merging”{\textquoteright} type 2 → 1, where two Reggeons merge into one. Importantly, the triple Pomeron merging vertex does not emerge from the KLWMIJ Hamiltonian. We show that, although in the range of applicability of the KLWMIJ Hamiltonian these merging terms are subleading in Nc, in the dense-dense regime they all become of the same (leading) order in Nc. In this regime vertices involving higher Reggeons are enhanced by inverse powers of the coupling constant.",

keywords = "1/N Expansion, QCD",

author = "Tolga Altinoluk and N{\'e}stor Armesto and Alex Kovner and Eugene Levin and Michael Lublinsky",

note = "Publisher Copyright: {\textcopyright} 2014, The Author(s).",

year = "2014",

month = aug,

day = "1",

doi = "https://doi.org/10.1007/JHEP08(2014)007",

language = "الإنجليزيّة",

volume = "2014",

pages = "1--27",

journal = "Journal of High Energy Physics",

issn = "1126-6708",

publisher = "Springer Verlag",

number = "8",

}

TY - JOUR

T1 - KLWMIJ Reggeon field theory beyond the large Nc limit

AU - Altinoluk, Tolga

AU - Armesto, Néstor

AU - Kovner, Alex

AU - Levin, Eugene

AU - Lublinsky, Michael

PY - 2014/8/1

Y1 - 2014/8/1

N2 - Abstract: We extend the analysis of KLWMIJ evolution in terms of QCD Reggeon fields beyond leading order in the 1/Nc expansion. We show that there is only one type of corrections to the leading order Hamiltonian discussed in [1]. These are terms linear in original Reggeons and quadratic in conjugate Reggeon operators. All of these have the interpretation as vertices of the “‘merging”’ type 2 → 1, where two Reggeons merge into one. Importantly, the triple Pomeron merging vertex does not emerge from the KLWMIJ Hamiltonian. We show that, although in the range of applicability of the KLWMIJ Hamiltonian these merging terms are subleading in Nc, in the dense-dense regime they all become of the same (leading) order in Nc. In this regime vertices involving higher Reggeons are enhanced by inverse powers of the coupling constant.

AB - Abstract: We extend the analysis of KLWMIJ evolution in terms of QCD Reggeon fields beyond leading order in the 1/Nc expansion. We show that there is only one type of corrections to the leading order Hamiltonian discussed in [1]. These are terms linear in original Reggeons and quadratic in conjugate Reggeon operators. All of these have the interpretation as vertices of the “‘merging”’ type 2 → 1, where two Reggeons merge into one. Importantly, the triple Pomeron merging vertex does not emerge from the KLWMIJ Hamiltonian. We show that, although in the range of applicability of the KLWMIJ Hamiltonian these merging terms are subleading in Nc, in the dense-dense regime they all become of the same (leading) order in Nc. In this regime vertices involving higher Reggeons are enhanced by inverse powers of the coupling constant.

KW - 1/N Expansion

KW - QCD

UR - http://www.scopus.com/inward/record.url?scp=84920104343&partnerID=8YFLogxK

U2 - https://doi.org/10.1007/JHEP08(2014)007

DO - https://doi.org/10.1007/JHEP08(2014)007

M3 - مقالة

SN - 1126-6708

VL - 2014

SP - 1

EP - 27

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 8

M1 - 7

ER -