Built on

M. Serone, G. Spada, and G. Villadoro, λ ϕ 2 4 \lambda\phi_{2}^{4} theory — Part II. the broken phase beyond NNNN(NNNN)LO
Original
1901
Earlier work this paper cites.
M. Marino and T. Reis, Exact perturbative results for the Lieb-Liniger and Gaudin-Yang models
Original
1905
Earlier work this paper cites.
M. Mariño and T. Reis, Renormalons in integrable field theories
Original
1909
Earlier work this paper cites.
A. B. Zamolodchikov and A. B. Zamolodchikov, Relativistic Factorized S Matrix in Two-Dimensions Having O(N) Isotopic Symmetry
1977
Earlier work this paper cites.
A. M. Polyakov and P. B. Wiegmann, Theory of Nonabelian Goldstone Bosons
1983
Earlier work this paper cites.
P. Hasenfratz, M. Maggiore, and F. Niedermayer, The Exact mass gap of the O(3) and O(4) nonlinear sigma models in d = 2
1990
Earlier work this paper cites.
P. Hasenfratz and F. Niedermayer, The Exact mass gap of the O(N) sigma model for arbitrary N ≥ 3 N\geq 3 in d = 2
1990
Earlier work this paper cites.
M. Beneke, Renormalons
1999
Earlier work this paper cites.
E. Delabaere and F. Pham, Resurgent methods in semi-classical asymptotics
1999
Earlier work this paper cites.
M. Marino and T. Reis, Resurgence and renormalons in the one-dimensional Hubbard model
Original
2006
Earlier work this paper cites.
PhD thesis, 2009
Original
D. Volin, Quantum integrability and functional equations: Applications to the spectral problem of AdS/CFT and two-dimensional sigma models · 2009
Earlier work this paper cites.
Z. Bajnok, J. Balog, B. Basso, G. Korchemsky, and L. Palla, Scaling function in AdS/CFT from the O(6) sigma model
Original
2009
Earlier work this paper cites.

Similar

D. Volin, From the mass gap in O(N) to the non-Borel-summability in O(3) and O(4) sigma-models
Original
2010
Cited alongside, same era.
M. Marino and T. Reis, Three roads to the energy gap
Original
2010
Cited alongside, same era.
M. C. Abbott, Z. Bajnok, J. Balog, and A. Hegedűs, From perturbative to non-perturbative in the O (4) sigma model
Original
2011
Cited alongside, same era.
M. C. Abbott, Z. Bajnok, J. Balog, A. Hegedűs, and S. Sadeghian, Resurgence in the O(4) sigma model
Original
2011
Cited alongside, same era.
C. Bauer, G. S. Bali, and A. Pineda, Compelling Evidence of Renormalons in QCD from High Order Perturbative Expansions
Original

Then

S. Demulder, D. Dorigoni, and D. C. Thompson, Resurgence in η \eta -deformed Principal Chiral Models
Original
2016
Later among the works it cites.
G. V. Dunne and M. Ünsal, What is QFT? Resurgent trans-series, Lefschetz thimbles, and new exact saddles
Original
2016
Later among the works it cites.
G. V. Dunne and M. Ünsal, New Nonperturbative Methods in Quantum Field Theory: From Large-N Orbifold Equivalence to Bions and Resurgence
Original
2016
Later among the works it cites.
I. Aniceto and M. Spaliński, Resurgence in Extended Hydrodynamics
Original
2016
Later among the works it cites.
G. Arutyunov, D. Dorigoni, and S. Savin, Resurgence of the dressing phase for AdS5xS5

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2021

Analytic resurgence in the O(4) model

Bajnok, Zoltán, Balog, János, Vona, István

Understand

We study the perturbative expansion of the ground state energy in the presence of an external field coupled to a conserved charge in the integrable two-dimensional O$(4)$ nonlinear sigma model.

By solving Volin's algebraic equations for the perturbative coefficients we study the large order asymptotic behaviour of the perturbative series analytically.
We confirm the previously numerically found leading behaviour and study the nearest singularities of the Borel transformed series and the associated alien derivatives.
We find a 'resurgence' behaviour: the leading alien derivatives can be expressed in terms of the original perturbative series.

Built on

M. Serone, G. Spada, and G. Villadoro, λ ϕ 2 4 \lambda\phi_{2}^{4} theory — Part II. the broken phase beyond NNNN(NNNN)LO
Original
1901
Earlier work this paper cites.
M. Marino and T. Reis, Exact perturbative results for the Lieb-Liniger and Gaudin-Yang models
Original
1905
Earlier work this paper cites.
M. Mariño and T. Reis, Renormalons in integrable field theories
Original
1909
Earlier work this paper cites.
A. B. Zamolodchikov and A. B. Zamolodchikov, Relativistic Factorized S Matrix in Two-Dimensions Having O(N) Isotopic Symmetry
1977
Earlier work this paper cites.
A. M. Polyakov and P. B. Wiegmann, Theory of Nonabelian Goldstone Bosons
1983
Earlier work this paper cites.
P. Hasenfratz, M. Maggiore, and F. Niedermayer, The Exact mass gap of the O(3) and O(4) nonlinear sigma models in d = 2
1990
Earlier work this paper cites.
P. Hasenfratz and F. Niedermayer, The Exact mass gap of the O(N) sigma model for arbitrary N ≥ 3 N\geq 3 in d = 2
1990
Earlier work this paper cites.
M. Beneke, Renormalons
1999
Earlier work this paper cites.
E. Delabaere and F. Pham, Resurgent methods in semi-classical asymptotics
1999
Earlier work this paper cites.
M. Marino and T. Reis, Resurgence and renormalons in the one-dimensional Hubbard model
Original
2006
Earlier work this paper cites.
PhD thesis, 2009
Original
D. Volin, Quantum integrability and functional equations: Applications to the spectral problem of AdS/CFT and two-dimensional sigma models · 2009
Earlier work this paper cites.
Z. Bajnok, J. Balog, B. Basso, G. Korchemsky, and L. Palla, Scaling function in AdS/CFT from the O(6) sigma model
Original
2009
Earlier work this paper cites.