Transition in the spectrum of the topological sector of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi>ϕ</mml:mi><mml:mn>2</mml:mn><mml:mn>4</mml:mn></mml:msubsup></mml:math>theory at strong coupling

Chakrabarti, Dipankar; Harindranath, A.; Vary, James P.

doi:10.1103/physrevd.71.125012

Cited by 35 publications

(39 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Figure 5 contains two samples of the high-resolution DLCQ results, which show the degeneracy between odd and even states in the infinite-resolution limit. Low-level excitations at strong coupling can be associated with kink-antikink states [60,61,138]. These may indicate formation of a kink condensate driving the transition to symmetry restoration for the negative mass-squared case.…”

Section: φ 4 2 Theorymentioning

confidence: 99%

“…Two-dimensional φ 4 theory has been a focus for nonperturbative light-front methods from almost the beginning [63,64,58,59,60,61,68], at least partly because the theory provides a relatively simple instance of symmetry breaking and the possible importance of zero modes [57,75]. The phase transition has been studied on the light front [58], and there have been various attempts at the calculation of critical couplings and even critical exponents [71].…”

Section: φ 4 2 Theorymentioning

confidence: 99%

“…It has had particular utility in two dimensions. This includes calculations of eigenstates in supersymmetric Yang-Mills theories [56] and φ 4 theory [57,58,59,60,61], as well as the early applications to Yukawa theory [12], φ 3 and φ 4 theories [62,63,64], QED [65], and QCD [66].…”

Section: Discretized Light-cone Quantizationmentioning

confidence: 99%

See 2 more Smart Citations

Nonperturbative light-front Hamiltonian methods

Hiller

2016

Progress in Particle and Nuclear Physics

View full text Add to dashboard Cite

We examine the current state-of-the-art in nonperturbative calculations done with Hamiltonians constructed in light-front quantization of various field theories. The language of light-front quantization is introduced, and important (numerical) techniques, such as Pauli-Villars regularization, discrete light-cone quantization, basis light-front quantization, the light-front coupled-cluster method, the renormalization group procedure for effective particles, sector-dependent renormalization, and the Lanczos diagonalization method, are surveyed. Specific applications are discussed for quenched scalar Yukawa theory, φ 4 theory, ordinary Yukawa theory, supersymmetric Yang-Mills theory, quantum electrodynamics, and quantum chromodynamics. The content should serve as an introduction to these methods for anyone interested in doing such calculations and as a rallying point for those who wish to solve quantum chromodynamics in terms of wave functions rather than random samplings of Euclidean field configurations.

show abstract

Section: φ 4 2 Theorymentioning

confidence: 99%

Section: φ 4 2 Theorymentioning

confidence: 99%

See 1 more Smart Citation

Nonperturbative light-front Hamiltonian methods

Hiller

2016

Progress in Particle and Nuclear Physics

View full text Add to dashboard Cite

show abstract

“…To the best of our knowledge, the first work to investigate this subject is Ref. [10] where it is shown that by Fourier transforming the form factors one observes profiles in b ÿ with kinks and antikinks. In addition to the light-front longitudinal structure of DVCS amplitudes in one-loop QED and meson models, we also present the corresponding structure of the LFWFs of the quantum fluctuations of a lepton to order e 2 in QED.…”

Section: Introductionmentioning

confidence: 99%

Hadron optics in three-dimensional invariant coordinate space from deeply virtual Compton scattering

et al. 2007

Self Cite

View full text Add to dashboard Cite

The Fourier transform of the deeply virtual Compton scattering amplitude (DVCS) with respect to the skewness parameter Q 2 =2p q can be used to provide an image of the target hadron in the boostinvariant variable , the coordinate conjugate to light-front time t z=c. As an illustration, we construct a consistent covariant model of the DVCS amplitude and its associated generalized parton distributions using the quantum fluctuations of a fermion state at one loop in QED, thus providing a representation of the light-front wave functions (LFWFs) of a lepton in space. A consistent model for hadronic amplitudes can then be obtained by differentiating the light-front wave functions with respect to the bound-state mass. The resulting DVCS helicity amplitudes are evaluated as a function of and the impact parameterb ? , thus providing a light-front image of the target hadron in a frame-independent threedimensional light-front coordinate space. Models for the LFWFs of hadrons in 3 1 dimensions displaying confinement at large distances and conformal symmetry at short distances have been obtained using the AdS/CFT method. We also compute the LFWFs in this model in invariant three-dimensional coordinate space. We find that, in the models studied, the Fourier transform of the DVCS amplitudes exhibit diffraction patterns. The results are analogous to the diffractive scattering of a wave in optics where the distribution in measures the physical size of the scattering center in a one-dimensional system.

show abstract

“…We discuss here selected recent results obtained with these techniques applied to light-front quantized scalar field theory in 1 + 1 dimensions [19][20][21]. For this application, we did not need to invoke the full effective Hamiltonian apparatus since it proved sufficient to work with the bare Hamiltonian for our physics goals.…”

Section: Scalar Field Theory -Spontaneous Symmetry Breakingmentioning

confidence: 99%