Light-Front Versus Equal-Time Quantization in 
                $$\varvec{\phi ^4}$$
                
                    
                                    
                        
                            
                                ϕ
                                4
                            
                        
                    
                
             Theory

Chabysheva, Sophia S.

doi:10.1007/s00601-017-1275-5

Cited by 2 publications

(3 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For this simple case where all operators are scalars, we can evaluate the integral over w to obtain the final Hamiltonian matrix element 14) where in evaluating this integral we've assumed (without loss of generality) that µ 2 > µ 2 . This expression agrees with eqs.…”

Section: Jhep10(2020)095mentioning

confidence: 99%

“…In this section, we will work out matrix elements of 14) i.e., the mass term in the lightcone Hamiltonian (6.2). An important feature and simplification of lightcone quantization is that the vacuum is trivial [8][9][10].…”

Section: Jhep10(2020)095mentioning

confidence: 99%

“…The caveat to all of these statements is the possible effects of 'zero modes'. There is now a better understanding of how to systematically account for zero modes with an effective Hamiltonian[11,12] and how to match results between lightcone and equal-time quantization[13][14][15].…”

mentioning

confidence: 99%

See 2 more Smart Citations

Momentum space CFT correlators for Hamiltonian truncation

Anand

Khandker

Walters

2020

J. High Energ. Phys.

View full text Add to dashboard Cite

We consider Lorentzian CFT Wightman functions in momentum space. In particular, we derive a set of reference formulas for computing two- and three-point functions, restricting our attention to three-point functions where the middle operator (corresponding to a Hamiltonian density) carries zero spatial momentum, but otherwise allowing operators to have arbitrary spin. A direct application of our formulas is the computation of Hamiltonian matrix elements within the framework of conformal truncation, a recently proposed method for numerically studying strongly-coupled QFTs in real time and infinite volume. Our momentum space formulas take the form of finite sums over 2F1 hypergeometric functions, allowing for efficient numerical evaluation. As a concrete application, we work out matrix elements for 3d ϕ4-theory, thus providing the seed ingredients for future truncation studies.

show abstract

Section: Jhep10(2020)095mentioning

confidence: 99%

Section: Jhep10(2020)095mentioning

confidence: 99%

See 1 more Smart Citation

Momentum space CFT correlators for Hamiltonian truncation

Anand

Khandker

Walters

2020

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

NLO renormalization in the Hamiltonian truncation

2017

View full text Add to dashboard Cite

Hamiltonian Truncation (a.k.a. Truncated Spectrum Approach) is a numerical technique for solving strongly coupled QFTs, in which the full Hilbert space is truncated to a finitedimensional low-energy subspace. The accuracy of the method is limited only by the available computational resources. The renormalization program improves the accuracy by carefully integrating out the high-energy states, instead of truncating them away. In this paper we develop the most accurate ever variant of Hamiltonian Truncation, which implements renormalization at the cubic order in the interaction strength. The novel idea is to interpret the renormalization procedure as a result of integrating out exactly a certain class of high-energy "tail states". We demonstrate the power of the method with high-accuracy computations in the strongly coupled two-dimensional quartic scalar theory, and benchmark it against other existing approaches. Our work will also be useful for the future goal of extending Hamiltonian Truncation to higher spacetime dimensions.

show abstract

Light-Front Versus Equal-Time Quantization in $$\varvec{\phi ^4}$$ ϕ 4 Theory

Cited by 2 publications

References 20 publications

Momentum space CFT correlators for Hamiltonian truncation

Momentum space CFT correlators for Hamiltonian truncation

NLO renormalization in the Hamiltonian truncation

Contact Info

Product

Resources

About