Ab initio results for the broken phase of scalar light front field theory

Chakrabarti, Dipankar; Harindranath, A.; Martinovic, Lubomir; Pivovarov, Grigorii B.; Vary, James P.

doi:10.1016/j.physletb.2005.05.012

Cited by 33 publications

(29 citation statements)

References 18 publications

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“…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%

“…The reduced auxiliary equation, from the second equation in (187), is 1 6 Figure 5: Mass-squared eigenvalues for odd and even states in the broken-symmetry phase, in units of µ 2 , from DLCQ calculations with resolution K, from [59]. The values of the coupling constant λ are quoted in units of µ 2 , where µ is the bare mass of the constituents.…”

Section: φ 4 2 Theorymentioning

confidence: 99%

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Nonperturbative light-front Hamiltonian methods

Hiller

2016

Progress in Particle and Nuclear Physics

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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.

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Section: Discretized Light-cone Quantizationmentioning

confidence: 99%

Section: φ 4 2 Theorymentioning

confidence: 99%

Nonperturbative light-front Hamiltonian methods

Hiller

2016

Progress in Particle and Nuclear Physics

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“…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%

“…Using the Discrete Light Cone Quantization (DLCQ) Hamiltonian (box normalized plane wave basis with both periodic (PBC) [20] and anti periodic boundary condition (APBC)) [19,21] we investigated non-trivial topological structures through the example of the broken symmetry phase of the two dimensional φ 4 theory. Upon diagonalizing the bare Hamiltonian as a function of increasing basis size, we found clear evidence for degenerate ground states which is both a signature of spontaneous symmetry breaking and mandatory for the existence of kinks.…”

Section: Scalar Field Theory -Spontaneous Symmetry Breakingmentioning

confidence: 99%

Coherent States and Spontaneous Symmetry Breaking in Light Front Scalar Field Theory

Vary¹,

Chakrabarti²,

Harindranath³

et al. 2005

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“…We compared the DLCQ results for the num-ber density of partons in the kink state and the Fourier transform of the form factor of the kink with corresponding observables in the coherent variational kink state. We have also carried out similar investigations using PBC [14].…”

Section: Introductionmentioning

confidence: 99%

Transition in the spectrum of the topological sector ofϕ24theory at strong coupling

2005

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We investigate the strong coupling region of the topological sector of the two-dimensional φ 4 theory.Using discrete light cone quantization (DLCQ), we extract the masses of the lowest few excitations and observe level crossings. To understand this phenomena, we evaluate the expectation value of the integral of the normal ordered φ 2 operator and we extract the number density of constituents in these states. A coherent state variational calculation confirms that the number density for low-lying states above the transition coupling is dominantly that of a kink-antikink-kink state. The Fourier transform of the form factor of the lowest excitation is extracted which reveals a structure close to a kink-antikink-kink profile. Thus, we demonstrate that the structure of the lowest excitations becomes that of a kink-antikink-kink configuration at moderately strong coupling. We extract the critical coupling for the transition of the lowest state from that of a kink to a kink-antikink-kink. We interpret the transition as evidence for the onset of kink condensation which is believed to be the physical mechanism for the symmetry restoring phase transition in two-dimensional φ 4 theory.

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Ab initio results for the broken phase of scalar light front field theory

Abstract: Physics Letters B 617 (2005) 92-98. doi:10.1016/j.physletb.2005.05.012Received by publisher: 2005-03-24Harvest Date: 2016-01-04 12:22:20DOI: 10.1016/j.physletb.2005.05.012Page Range: 92-9

Cited by 33 publications

References 18 publications

Nonperturbative light-front Hamiltonian methods

Nonperturbative light-front Hamiltonian methods

Coherent States and Spontaneous Symmetry Breaking in Light Front Scalar Field Theory

Transition in the spectrum of the topological sector ofϕ24theory at strong coupling

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