{"arxiv_id":"2010.02683","incoming":{"papers":9,"sentences":18,"groups":[{"kind":"data_used","label":"Uses its data or values","papers":1,"sentences":3,"quotes":[{"arxiv_id":"2205.02012","title":"Perturbative renormalization of the supercurrent operator in lattice ${\\cal N}{=}1$ supersymmetric Yang-Mills theory","url":"/paper/2205.02012","section":"Results for Green's functions and for the mixing matrix in the lattice regularization (LR)","sentence":"The first three renormalization factors are computed in Ref. [ref] ; for a self-contained presentation, they are shown below: [equation] In Ref. [ref] we calculate $Z_c^L,$, using Wilson gluinos without clover term.","intent_p":0.83,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":3,"sentences":3,"quotes":[{"arxiv_id":"2212.10524","title":"Supercurrent renormalization of $\\mathcal{N}=1$ supersymmetric Yang-Mills theory on the lattice","url":"/paper/2212.10524","section":"Perturbative results in dimensional regularization and conversion factors to","sentence":"Our results for $Z_ij^,$, $Z_𝒪^,$ read Z_SS^, = 1 + 𝒪 (g^4), Z_ST^, = 𝒪 (g^4), Z_TS^, = 3 N_c/2 ε + 𝒪 (g^4), Z_TT^, = 1 - 3 N_c/ε + 𝒪 (g^4), Z_𝒪^, = 1 - 3 N_c/ε + 𝒪 (g^4), which agree with our recent one-loop calculations in Refs. [ref] .","intent_p":0.83,"contests_p":null},{"arxiv_id":"2102.02036","title":"Gauge-invariant Renormalization of the Gluino-Glue operator","url":"/paper/2102.02036","section":"Formulation and $$ calculation","sentence":"The extraction of the correct renormalization in the $$ scheme, already known in Ref. [ref] for the operator $O_Gg$ is a consistency check of our results.","intent_p":0.95,"contests_p":null},{"arxiv_id":"2209.13934","title":"Nonperturbative renormalization of the supercurrent in $\\mathcal{N} = 1$ Supersymmetric Yang-Mills Theory","url":"/paper/2209.13934","section":"One-loop calculation in the MS bar scheme","sentence":"Our results for $Z_ij^,$, $Z_𝒪^,$ read: Z_SS^, = 1 + 𝒪 (g^4), Z_ST^, = 𝒪 (g^4), Z_TS^, = 3 N_c/2 ε + 𝒪 (g^4), Z_TT^, = 1 - 3 N_c/ε + 𝒪 (g^4), Z_𝒪^, = 1 - 3 N_c/ε + 𝒪 (g^4), which agree with our recent one-loop calculations of Refs. [ref] , where gauge-noninvariant Green's functions of all mixing operators with external elementary fields are considered.","intent_p":0.99,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":2,"sentences":2,"quotes":[{"arxiv_id":"2409.09089","title":"Supersymmetric QCD on the lattice: Fine-tuning and counterterms for the quartic couplings","url":"/paper/2409.09089","section":"Introduction","sentence":"Furthermore, perturbative investigations using specific regulators, e.g., [ref] , have contributed to precise determinations of counterterms, fine-tuning of parameters, and the renormalization of SUSY operators.","intent_p":0.85,"contests_p":null},{"arxiv_id":"2209.13934","title":"Nonperturbative renormalization of the supercurrent in $\\mathcal{N} = 1$ Supersymmetric Yang-Mills Theory","url":"/paper/2209.13934","section":"The action of supersymmetric Yang-Mills theory","sentence":"The explicit definitions of $U_plaq.$, $U_rect.$, $F̂_μν^αβ$ in terms of link variables $U_μ(x)$, and the covariant derivatives are standard; they can be found in, e.g. Ref. [ref] .","intent_p":0.92,"contests_p":null}]}],"unlabelled_sentences":10},"outgoing":{"papers":20,"sentences":36,"groups":[{"kind":"data_used","label":"Uses data or values from","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1706.05222","title":"Supersymmetric QCD on the Lattice: An Exploratory Study","url":"/paper/1706.05222","section":"Calculation setup","sentence":"The ghost field renormalization constant, $Z_c$, is the same as in Ref. [ref] .","intent_p":0.86,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1706.05222","title":"Supersymmetric QCD on the Lattice: An Exploratory Study","url":"/paper/1706.05222","section":"Lattice Regularization","sentence":"Since we used the clover action for gluino fields, $Z_λ$ and $Z_u$ are recalculated, leading to[For brevity, decimal numbers in our results are presented only with four digits after the decimal point; they are known to higher accuracy.]: [equation] [equation] which coincide with the expressions in Ref. [ref] for $c_SW=0$ and $N_f=0$.","intent_p":0.98,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":4,"sentences":4,"quotes":[{"arxiv_id":"1706.05222","title":"Supersymmetric QCD on the Lattice: An Exploratory Study","url":"/paper/1706.05222","section":"Lattice Regularization","sentence":"All the details and definitions of the continuum and the lattice actions can be found in Ref. [ref] .","intent_p":0.81,"contests_p":null},{"arxiv_id":"2003.04110","title":"Continuum extrapolation of Ward identities in $\\mathbf{\\mathcal{N}=1}$ supersymmetric SU(3) Yang-Mills theory","url":"/paper/2003.04110","section":"Summary and Future Plans","sentence":"A further direction in this context regards supersymmetric Ward identities in order to study the lattice artifacts and the recovery of supersymmetry in the continuum limit [ref] .","intent_p":0.89,"contests_p":null},{"arxiv_id":"1011.1491","title":"Cambridge Lectures on Supersymmetry and Extra Dimensions","url":"/paper/1011.1491","section":"Introduction","sentence":"Supersymmetry (SUSY) has a long history as a viable extension of the Standard Model [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"hep-ph/9709356","title":"A Supersymmetry Primer","url":"/paper/hep-ph/9709356","section":"Introduction","sentence":"Supersymmetry (SUSY) has a long history as a viable extension of the Standard Model [ref] .","intent_p":1.0,"contests_p":null}]}],"unlabelled_sentences":30},"claims":[{"relation":"same_result","label":"States the same result","papers":[{"arxiv_id":"2111.00512","url":"/paper/2111.00512","title":"Perturbative study of the Gluino-Glue operator in SYM","main_claim":"We compute at one-loop order the renormalization of the Gluino-Glue operator and all operator mixing coefficients.","p":0.93}]}],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/2010.02683"}}