Non-perturbative Lee-Wick gauge theory: Towards Confinement & RGE with strong couplings - INSPIRE

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Non-perturbative Lee-Wick gauge theory: Towards Confinement & RGE with strong couplings

Marco Frasca
(
- Rome U.
)
,
Anish Ghoshal
(
- Warsaw U.
)
,
Alexey S. Koshelev
(
- Beira Interior U., Covilha
)

Feb 19, 2022

28 pages

Published in:

Class.Quant.Grav. 41 (2024) 1, 015014,
Class.Quant.Grav. 41 (2024) 015014

Published: Dec 4, 2023

e-Print:

2202.09578 [hep-ph]

DOI:

10.1088/1361-6382/ad0a51

View in:

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Abstract: (IOP)

We consider a non-Abelian Lee–Wick gauge theory and discuss Becchi-Rouet-Stora-Tyutin invariance. It contains fourth-order derivative as extensions of the kinetic term, leading to massive ghosts in the theory upon quantization. We particularly provide essential clues towards confinement conditions in strongly-coupled regimes, using the Kugo–Ojima approach, and obtain the functions in the non-perturbative regimes. This is achieved using a set of exact solutions of the corresponding local theory in terms of Jacobi elliptical functions. We obtain a similar function just as for the ordinary Yang-Mills theory but the main differences are that now, the cut-off arises naturally from the Lee–Wick heavy mass scales (M). We show that the fate of the ghosts are fixed in these regimes: they are no more the propagating degrees of freedom in the infrared-limit. As it also happens for the ordinary case, confinement is due to the non-Abelian nature of the theory. In the limit , one recovers the standard results for the local non-Abelian Yang-Mills theory.

Note:

28 pages, 1 figure. Version accepted for publication in Classical and Quantum Gravity. arXiv admin note: text overlap with arXiv:2106.07629

Lee-Wick
ghosts
confinement
renormalization group equation
non-perturbative
gauge field theory: Yang-Mills
mass: scale
ghost: massive
Lee-Wick model
Becchi-Rouet-Stora

References(150)

Figures(1)

[1]

Renormalization of Higher Derivative Quantum Gravity

K.S. Stelle
(
- Brandeis U.
)

- Phys.Rev.D 16 (1977) 953-969
•
DOI:
- 10.1103/PhysRevD.16.953

[2]

Classical Gravity with Higher Derivatives

K. S. Stelle
(
- Brandeis U.
)

- Gen.Rel.Grav. 9 (1978) 353-371,
- Gen.Relativity Grav.9 (1978) 353-371 and Preprint - STELLE K S (77,REC.MAY) 34p
•
DOI:
- 10.1007/BF00760427

[3]

Spherically Symmetric Solutions in Higher-Derivative Gravity

H. Lü
(
- Beijing Normal U.
)
,
A. Perkins
(
- Imperial Coll., London
)
,
C.N. Pope
(
- Cambridge U., DAMTP and
- Texas A-M
)
,
K.S. Stelle
(
- Imperial Coll., London
)

- Phys.Rev.D 92 (2015) 12, 124019
•
e-Print:
- 1508.00010
•
DOI:
- 10.1103/PhysRevD.92.124019

[4]

Classical and Quantum Cosmology

G. Calcagni

[5]

Introduction to Quantum Field Theory With Applications to Quantum Gravity

I.L. Buchbinder
,
I. Shapiro

[6]

Negative Metric and the Unitarity of the S Matrix

T.D. Lee
(
- CERN
)
,
G.C. Wick
(
- Columbia U.
)

- Nucl.Phys.B 9 (1969) 209-243,
- In *Lee, T.D.: Selected papers, vol. 2*, 83-117
•
DOI:
- 10.1016/0550-3213(69)90098-4

Finite Theory of Quantum Electrodynamics

T.D. Lee
(
- Columbia U.
)
,
G.C. Wick
(
- Columbia U.
)

- Phys.Rev.D 2 (1970) 1033-1048,
- In *Lee, T.D.: Selected papers, vol. 2*, 129-144, and Columbia Univ. New York - NYO-1932(2)-169 (rec.May 70) 64 p. (see Book Index)
•
DOI:
- 10.1103/PhysRevD.2.1033

[7]

The Lee-Wick standard model

Benjamin Grinstein
(
- UC, San Diego
)
,
Donal O'Connell
(
- Caltech
)
,
Mark B. Wise
(
- Caltech
)

- Phys.Rev.D 77 (2008) 025012
•
e-Print:
- 0704.1845
•
DOI:
- 10.1103/PhysRevD.77.025012

[8]

Massive vector scattering in Lee-Wick gauge theory

Benjamin Grinstein
(
- UC, San Diego
)
,
Donal O'Connell
(
- Princeton, Inst. Advanced Study and
- Bohr Inst.
)
,
Mark B. Wise
(
- Caltech
)

- Phys.Rev.D 77 (2008) 065010
•
e-Print:
- 0710.5528
•
DOI:
- 10.1103/PhysRevD.77.065010

[9]

The Lee Wick Standard Model

Mark B. Wise
(
- Caltech
)

- Int.J.Mod.Phys.A 25 (2010) 587-596
•
e-Print:
- 0908.3872
•
DOI:
- 10.1142/S0217751X10048871

[10]

Investigations in the Lee-Wick electrodynamics

Antonio Accioly
(
- Rio de Janeiro, CBPF and
- Sao Paulo, IFT
)
,
Patricio Gaete
(
- Santa Maria U., Valparaiso
)
,
Jose Helayel-Neto
(
- Rio de Janeiro, CBPF
)
,
Eslley Scatena
(
- Sao Paulo, IFT
)
,
Rodrigo Turcati
(
- Rio de Janeiro, CBPF
)

- Mod.Phys.Lett.A 26 (2011) 1985-1994
•
DOI:
- 10.1142/S0217732311036401

[11]

Probing features of the Lee-Wick quantum electrodynamics

R. Turcati
(
- Espirito Santo U. and
- Rio de Janeiro, CBPF
)
,
M.J. Neves
(
- Rio de Janeiro Rural U.
)

- Adv.High Energy Phys. 2014 (2014) 153953
•
e-Print:
- 1403.3132
•
DOI:
- 10.1155/2014/153953

[12]

Point-charge self-energy in Lee-Wick theories

F. A. Barone
(
- Itajuba Federal U.
)
,
G. Flores-Hidalgo
(
- Itajuba Federal U.
)
,
A. A. Nogueira
(
- Sao Paulo, IFT
)

- Phys.Rev.D 91 (2015) 2, 027701
•
e-Print:
- 1505.02228
•
DOI:
- 10.1103/PhysRevD.91.027701

[13]

Pauli–Villars regularization elucidated in Bopp–Podolsky’s generalized electrodynamics

Chueng-Ryong Ji
(
- North Carolina State U.
)
,
Alfredo T. Suzuki
(
- La Sierra U.
)
,
Jorge H.O. Sales
(
- Santa Cruz U., DCET
)
,
Ronaldo Thibes
(
- Bahia Southwest State U.
)

- Eur.Phys.J.C 79 (2019) 10, 871
•
e-Print:
- 1902.07632
•
DOI:
- 10.1140/epjc/s10052-019-7384-1

[14]

A non-analytic S matrix

R.E. Cutkosky
(
- Cambridge U., DAMTP
)
,
P.V. Landshoff
(
- Cambridge U., DAMTP
)
,
David I. Olive
(
- Cambridge U., DAMTP
)
,
J.C. Polkinghorne
(
- Cambridge U., DAMTP
)

- Nucl.Phys.B 12 (1969) 281-300
•
DOI:
- 10.1016/0550-3213(69)90169-2

A new formulation of Lee-Wick quantum field theory

Damiano Anselmi
(
- INFN, Pisa and
- Pisa U.
)
,
Marco Piva
(
- INFN, Pisa and
- Pisa U.
)

- JHEP 06 (2017) 066
•
e-Print:
- 1703.04584
•
DOI:
- 10.1007/JHEP06(2017)066

[16]

Perturbative unitarity of Lee-Wick quantum field theory

Damiano Anselmi
(
- Pisa U. and
- INFN, Pisa
)
,
Marco Piva
(
- Pisa U. and
- INFN, Pisa
)

- Phys.Rev.D 96 (2017) 4, 045009
•
e-Print:
- 1703.05563
•
DOI:
- 10.1103/PhysRevD.96.045009

[17]

Causality as an emergent macroscopic phenomenon: The Lee-Wick O(N) model

Benjamin Grinstein
(
- UC, San Diego
)
,
Donal O'Connell
(
- Princeton, Inst. Advanced Study
)
,
Mark B. Wise
(
- Caltech
)

- Phys.Rev.D 79 (2009) 105019
•
e-Print:
- 0805.2156
•
DOI:
- 10.1103/PhysRevD.79.105019

[18]

Minimal Lee-Wick Extension of the Standard Model

- Phys.Lett.B 668 (2008) 221-225
•
e-Print:
- 0806.4555
•
DOI:
- 10.1016/j.physletb.2008.08.050

A Higher-Derivative Lee-Wick Standard Model

- JHEP 01 (2009) 043
•
e-Print:
- 0811.4150
•
DOI:
- 10.1088/1126-6708/2009/01/043

Searching for Lee-Wick gauge bosons at the LHC

Thomas G. Rizzo
(
- SLAC
)

- JHEP 06 (2007) 070
•
e-Print:
- 0704.3458
•
DOI:
- 10.1088/1126-6708/2007/06/070

Neutrino masses in the Lee-Wick standard model

Jose Ramon Espinosa
(
- Madrid, Autonoma U. and
- Madrid, IFT
)
,
Benjamin Grinstein
(
- UC, San Diego
)
,
Donal O'Connell
(
- Caltech
)
,
Mark B. Wise
(
- Caltech
)

- Phys.Rev.D 77 (2008) 085002
•
e-Print:
- 0705.1188
•
DOI:
- 10.1103/PhysRevD.77.085002

Flavor Changing Neutral Currents in the Lee-Wick Standard Model

Timothy R. Dulaney
(
- Caltech
)
,
Mark B. Wise
(
- Caltech
)

- Phys.Lett.B 658 (2008) 230-235
•
e-Print:
- 0708.0567
•
DOI:
- 10.1016/j.physletb.2007.08.049

The Process gg ---> h(0) ---> gamma gamma in the Lee-Wick standard model

F. Krauss
(
- Durham U., IPPP
)
,
T.E.J. Underwood
(
- Durham U., IPPP
)
,
Roman Zwicky
(
- Durham U., IPPP
)

- Phys.Rev.D 77 (2008) 015012,
- Phys.Rev.D 83 (2011) 019902 (erratum)
•
e-Print:
- 0709.4054
•
DOI:
- 10.1103/PhysRevD.83.019902

The Process gg ---> h(0) ---> gamma gamma in the Lee-Wick standard model

F. Krauss
(
- Durham U., IPPP
)
,
T.E.J. Underwood
(
- Durham U., IPPP
)
,
Roman Zwicky
(
- Durham U., IPPP
)

- Phys.Rev.D 77 (2008) 015012,
- Phys.Rev.D 83 (2011) 019902 (erratum)
•
e-Print:
- 0709.4054
•
DOI:
- 10.1103/PhysRevD.83.019902

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