Large-Momentum Effective Theory

Ji, Xiangdong; Liu, Yu-Sheng; Liu, Yizhuang; Zhang, Jian-Hui; Zhao, Yong

doi:10.48550/arxiv.2004.03543

Cited by 44 publications

(91 citation statements)

References 395 publications

(831 reference statements)

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“…(2). It can also be generalized, in principle, to any matrix element with a Wilson line in LaMET applications [8]. Of course, in these cases one also needs to consider the physical interpretations of the matrix elements and the details related to lattice calculations carefully.…”

Section: Discussionmentioning

confidence: 99%

“…At one-loop order and in dimensional regularization, the renormalization factor of the logarithimic divergence is [8,53],…”

Section: Renormalization In Perturbation Theorymentioning

confidence: 99%

“…[5]. The proposal of the large-momentum effective field theory (LaMET) has been an important step toward meeting the challenge [6][7][8]. So far, LaMET has been widely used in calculating quark isovector distribution functions [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24], generalized parton distributions [25,26], distribution amplitudes (DAs) [27][28][29], and transverse-momentum-dependent distributions [30][31][32].…”

Section: Introductionmentioning

confidence: 99%

“…At large distance, one can directly remove the Wilson line self-energy effect by subtracting the power divergence [36][37][38]43]. Apart from using the RI/MOM factor or the rest-frame hadron matrix element, other methods have been suggested to extract the linear divergence, including Wilson loop [27,43], vacuum expectation values O Γ (z) [44], and gauge fixed Wilson link [8], and so on [39].…”

Section: Introductionmentioning

confidence: 99%

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Self-Renormalization of Quasi-Light-Front Correlators on the Lattice

Huo,

Su,

Gui

et al. 2021

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In applying large-momentum effective theory, renormalization of the Euclidean correlators in lattice regularization is a challenge due to linear divergences in the self-energy of Wilson lines. Based on lattice QCD matrix elements of the quasi-PDF operator at lattice spacing a= 0.03 fm ∼ 0.12 fm with clover and overlap valence quarks on staggered and domain-wall sea, we design a strategy to disentangle the divergent renormalization factors from finite physics matrix elements, which can be matched to a continuum scheme at short distance such as dimensional regularization and minimal subtraction. Our results indicate that the renormalization factors are universal in the hadron state matrix elements. Moreover, the physical matrix elements appear independent of the valence fermion formulations. These conclusions remain valid even with HYP smearing which reduces the statistical errors albeit reducing control of the renormalization procedure. Moreover, we find a large non-perturbative effect in the popular RI/MOM and ratio renormalization scheme, suggesting favor of the hybrid renormalization procedure proposed recently.

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Section: Discussionmentioning

confidence: 99%

“…At one-loop order and in dimensional regularization, the renormalization factor of the logarithimic divergence is [8,53],…”

Section: Renormalization In Perturbation Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Self-Renormalization of Quasi-Light-Front Correlators on the Lattice

Huo,

Su,

Gui

et al. 2021

Preprint

Self Cite

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“…(See Refs. [59][60][61] for reviews on quasi-PDFs.) While for quite some time studies of quasi-PDFs were limited to the twist-2 case, recently first studies appeared that are related to twist-3 quasi-PDFs [62][63][64][65].…”

Section: Introductionmentioning

confidence: 99%

Burkhardt-Cottingham-type sum rules for light-cone and quasi-PDFs

Bhattacharya,

Metz

2021

Preprint

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The Burkhardt-Cottingham (BC) sum rule connects the twist-3 light-cone parton distribution function (PDF) gT (x) to the twist-2 helicity PDF g1(x). The chiral-odd counterpart of the BC sum rule relates the twist-3 light-cone PDF hL(x) to the twist-2 transversity PDF h1(x). These BCtype sum rules can also be derived for the corresponding quasi-PDFs. We perform a perturbative check of the BC-type sum rules in the quark target model and the Yukawa model, by going beyond the ultra-violet (UV) divergent terms. We employ dimensional regularization (DR) and cut-off schemes to regulate UV divergences, and show that the BC-type sum rules hold for DR, while they are generally violated when using a cut-off. This violation can be traced back to the breaking of rotational invariance. We find corresponding results for the sum rule relating the mass of the target to the twist-3 PDF e(x). Moreover, we supplement our analytical results with numerical calculations.

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