Built on

R. F. Dashen, B. Hasslacher, and A. Neveu, “Nonperturbative Methods and Extended Hadron Models in Field Theory. 2. Two-Dimensional Models and Extended Hadrons,” Phys. Rev
1974
Earlier work this paper cites.
A. E. Arinshtein, V. A. Fateev, and A. B. Zamolodchikov, “Quantum s Matrix of the (1+1)-Dimensional Todd Chain,” Phys. Lett
1979
Earlier work this paper cites.
M. Luscher, “Volume Dependence of the Energy Spectrum in Massive Quantum Field Theories. 1. Stable Particle States,” Commun. Math. Phys
1986
Earlier work this paper cites.
M. Luscher, “Volume Dependence of the Energy Spectrum in Massive Quantum Field Theories. 2. Scattering States,” Commun. Math. Phys
1986
Earlier work this paper cites.
V. P. Yurov and A. B. Zamolodchikov, “Truncated conformal space approach to the scaling Lee-Yang model,” Int. J. Mod. Phys
1990
Earlier work this paper cites.
N. Seiberg, “Notes on quantum Liouville theory and quantum gravity,” Prog. Theor. Phys. Suppl
1990
Earlier work this paper cites.
A. B. Zamolodchikov and A. B. Zamolodchikov, “Structure constants and conformal bootstrap in Liouville field theory,” Nucl. Phys
1996
Earlier work this paper cites.
G. Feverati, F. Ravanini, and G. Takacs, “Truncated conformal space at c = 1, nonlinear integral equation and quantization rules for multi - soliton states,” Phys. Lett
1998
Earlier work this paper cites.
Z. Bajnok, L. Palla, G. Takacs, and F. Wagner, “The k folded sine-Gordon model in finite volume,” Nucl. Phys
2000
Earlier work this paper cites.

Similar

Z. Bajnok, L. Palla, G. Takacs, and F. Wagner, “Nonperturbative study of the two frequency sine-Gordon model,” Nucl. Phys
2001
Cited alongside, same era.
Z. Bajnok, L. Palla, G. Takacs, and G. Z. Toth, “The Spectrum of boundary states in sine-Gordon model with integrable boundary conditions,” Nucl. Phys
2002
Cited alongside, same era.
B. Pozsgay and G. Takacs, “Characterization of resonances using finite size effects,” Nucl. Phys
2006
Cited alongside, same era.
G. Mussardo, “Neutral Bound States in Kink-like Theories,” Nucl. Phys
2007
Cited alongside, same era.
B. Pozsgay and G. Takacs, “Form-factors in finite volume I: Form-factor bootstrap and truncated conformal space,” Nucl. Phys
Original
2008
Cited alongside, same era.

Then

G. Takacs and G. Watts, “Excited State G-Functions from the Truncated Conformal Space,” JHEP
Original
2012
Later among the works it cites.
M. Beria, G. P. Brandino, L. Lepori, R. M. Konik, and G. Sierra, “Truncated Conformal Space Approach for Perturbed Wess-Zumino-Witten S U ( 2 ) k SU(2)_{k} Models,” Nucl. Phys
Original
2013
Later among the works it cites.
Z. Bajnok, L. Hollo, and G. Watts, “Defect scaling Lee-Yang model from the perturbed DCFT point of view,” Nucl. Phys
Original
2014
Later among the works it cites.
A. Coser, M. Beria, G. P. Brandino, R. M. Konik, and G. Mussardo, “Truncated Conformal Space Approach for 2D Landau-Ginzburg Theories,” J. Stat. Mech
Original
2014
Later among the works it cites.
R. M. Konik, T. Palmai, G. Takacs, and A. M. Tsvelik, “Studying the perturbed Wess-Zumino-Novikov-Witten S U ( 2 ) k SU(2)_{k} theory using the truncated conformal spectrum approach,” Nucl. Phys

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2015

Truncated Hilbert space approach to the 2d $\phi^{4}$ theory

Bajnok, Z., Lajer, M.

Understand

We apply the massive analogue of the truncated conformal space approach to study the two dimensional $\phi^{4}$ theory in finite volume.

We focus on the broken phase and determine the finite size spectrum of the model numerically.
We interpret the results in terms of the Bethe-Yang spectrum, from which we extract the infinite volume masses and scattering matrices for various couplings.
We compare these results against semiclassical analysis and perturbation theory.

Built on

R. F. Dashen, B. Hasslacher, and A. Neveu, “Nonperturbative Methods and Extended Hadron Models in Field Theory. 2. Two-Dimensional Models and Extended Hadrons,” Phys. Rev
1974
Earlier work this paper cites.
A. E. Arinshtein, V. A. Fateev, and A. B. Zamolodchikov, “Quantum s Matrix of the (1+1)-Dimensional Todd Chain,” Phys. Lett
1979
Earlier work this paper cites.
M. Luscher, “Volume Dependence of the Energy Spectrum in Massive Quantum Field Theories. 1. Stable Particle States,” Commun. Math. Phys
1986
Earlier work this paper cites.
M. Luscher, “Volume Dependence of the Energy Spectrum in Massive Quantum Field Theories. 2. Scattering States,” Commun. Math. Phys
1986
Earlier work this paper cites.
V. P. Yurov and A. B. Zamolodchikov, “Truncated conformal space approach to the scaling Lee-Yang model,” Int. J. Mod. Phys
1990
Earlier work this paper cites.
N. Seiberg, “Notes on quantum Liouville theory and quantum gravity,” Prog. Theor. Phys. Suppl
1990
Earlier work this paper cites.
A. B. Zamolodchikov and A. B. Zamolodchikov, “Structure constants and conformal bootstrap in Liouville field theory,” Nucl. Phys
1996
Earlier work this paper cites.
G. Feverati, F. Ravanini, and G. Takacs, “Truncated conformal space at c = 1, nonlinear integral equation and quantization rules for multi - soliton states,” Phys. Lett
1998
Earlier work this paper cites.
Z. Bajnok, L. Palla, G. Takacs, and F. Wagner, “The k folded sine-Gordon model in finite volume,” Nucl. Phys
2000
Earlier work this paper cites.

Similar

Z. Bajnok, L. Palla, G. Takacs, and F. Wagner, “Nonperturbative study of the two frequency sine-Gordon model,” Nucl. Phys
2001
Cited alongside, same era.
Z. Bajnok, L. Palla, G. Takacs, and G. Z. Toth, “The Spectrum of boundary states in sine-Gordon model with integrable boundary conditions,” Nucl. Phys
2002
Cited alongside, same era.
B. Pozsgay and G. Takacs, “Characterization of resonances using finite size effects,” Nucl. Phys
2006
Cited alongside, same era.
G. Mussardo, “Neutral Bound States in Kink-like Theories,” Nucl. Phys
2007
Cited alongside, same era.
B. Pozsgay and G. Takacs, “Form-factors in finite volume I: Form-factor bootstrap and truncated conformal space,” Nucl. Phys
Original
2008
Cited alongside, same era.

Then

G. Takacs and G. Watts, “Excited State G-Functions from the Truncated Conformal Space,” JHEP
Original
2012
Later among the works it cites.
M. Beria, G. P. Brandino, L. Lepori, R. M. Konik, and G. Sierra, “Truncated Conformal Space Approach for Perturbed Wess-Zumino-Witten S U ( 2 ) k SU(2)_{k} Models,” Nucl. Phys
Original
2013
Later among the works it cites.
Z. Bajnok, L. Hollo, and G. Watts, “Defect scaling Lee-Yang model from the perturbed DCFT point of view,” Nucl. Phys
Original
2014
Later among the works it cites.
A. Coser, M. Beria, G. P. Brandino, R. M. Konik, and G. Mussardo, “Truncated Conformal Space Approach for 2D Landau-Ginzburg Theories,” J. Stat. Mech
Original
2014
Later among the works it cites.
R. M. Konik, T. Palmai, G. Takacs, and A. M. Tsvelik, “Studying the perturbed Wess-Zumino-Novikov-Witten S U ( 2 ) k SU(2)_{k} theory using the truncated conformal spectrum approach,” Nucl. Phys

Beyond the bibliography

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

Open on alphaXiv

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G. Fodor, P. Forgacs, Z. Horvath, and A. Lukacs, “Small amplitude quasi-breathers and oscillons,” Phys. Rev

Original

2008

Cited alongside, same era.

Z. Bajnok, C. Rim, and A. Zamolodchikov, “Sinh-Gordon boundary TBA and boundary Liouville reflection amplitude,” Nucl. Phys

Original

2008

Cited alongside, same era.

Z. Bajnok and R. A. Janik, “Four-loop perturbative Konishi from strings and finite size effects for multiparticle states,” Nucl. Phys

Original

2009

Cited alongside, same era.

A. Stathopoulos and J. R. McCombs., “PRIMME: PReconditioned Iterative MultiMethod Eigensolver: Methods and software description,” ACM Transactions on Mathematical Software

2010

Cited alongside, same era.

J. Elias-Miro, M. Montull, and M. Riembau, “The renormalized Hamiltonian truncation method in the large E T E_{T} expansion,” arXiv:1512.05746 [hep-th]

Original

Cited in the paper.

Original

2015

Closest in time.

M. Hogervorst, S. Rychkov, and B. C. van Rees, “Truncated conformal space approach in d dimensions: A cheap alternative to lattice field theory?,” Phys. Rev

Original

2015

Closest in time.