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1.
The dream of non-perturbative precision RG / Rychkov, Slava (speaker) (IHES)
Wilsonian non-perturbative RG is an unfinished business. It works qualitatively but not quantitatively [...]
2021 - 1:20:02. Theory Colloquia External link: Event details In : The dream of non-perturbative precision RG
2.
General Properties of Multiscalar RG Flows in $d=4-\varepsilon$ / Rychkov, Slava (IHES, Bures-sur-Yvette ; Ecole Normale Superieure) ; Stergiou, Andreas (CERN ; Los Alamos)
Fixed points of scalar field theories with quartic interactions in $d=4-\varepsilon$ dimensions are considered in full generality. For such theories it is known that there exists a scalar function $A$ of the couplings through which the leading-order beta-function can be expressed as a gradient. [...]
arXiv:1810.10541; CERN-TH-2018-225.- 2019-01-17 - 33 p. - Published in : SciPost Phys. 6 (2019) 008 Fulltext: PDF;
3.
The Conformal Bootstrap: Numerical Techniques and Applications / Poland, David (Yale U.) ; Rychkov, Slava (CERN ; Ecole Normale Superieure ; IHES, Bures-sur-Yvette) ; Vichi, Alessandro (Ecole Polytechnique, Lausanne)
Conformal field theories have been long known to describe the fascinating universal physics of scale invariant critical points. [...]
arXiv:1805.04405.
- 2018. - 80 p.
Fulltext
4.
A structural test for the conformal invariance of the critical 3d Ising model / Meneses, Simão (Porto U.) ; Penedones, João (EPFL, Lausanne, LPPC) ; Rychkov, Slava (IHES, Bures-sur-Yvette ; Ecole Normale Superieure ; CERN) ; Viana Parente Lopes, J.M. (Porto U. ; Porto U., Astron. Dept.) ; Yvernay, Pierre (CERN)
How can a renormalization group fixed point be scale invariant without being conformal? Polchinski (1988) showed that this may happen if the theory contains a virial current -- a non-conserved vector operator of dimension exactly $(d-1)$, whose divergence expresses the trace of the stress tensor. We point out that this scenario can be probed via lattice Monte Carlo simulations, using the critical 3d Ising model as an example. [...]
arXiv:1802.02319.- 2019-04-17 - 30 p. - Published in : JHEP 04 (2019) 115 Article from SCOAP3: PDF; Fulltext: PDF;
5.
A tauberian theorem for the conformal bootstrap / Qiao, Jiaxin (CERN ; Ecole Normale Superieure) ; Rychkov, Slava (CERN ; Ecole Normale Superieure)
For expansions in one-dimensional conformal blocks, we provide a rigorous link between the asymptotics of the spectral density of exchanged primaries and the leading singularity in the crossed channel. Our result has a direct application to systems of SL(2,R)-invariant correlators (also known as 1d CFTs). [...]
arXiv:1709.00008; CERN-TH-2017-176.- 2017-12-21 - 36 p. - Published in : JHEP 12 (2017) 119 Article from SCOAP3: scoap3-fulltext - PDF; scoap - PDF; Fulltext: PDF;
6.
NLO Renormalization in the Hamiltonian Truncation / Elias-Miro, Joan (INFN, Trieste ; SISSA, Trieste) ; Rychkov, Slava (CERN ; Ecole Normale Superieure ; UPMC, Paris (main)) ; Vitale, Lorenzo G. (Boston U. ; ITPP, Lausanne)
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 finite-dimensional low-energy subspace. [...]
arXiv:1706.09929; CERN-TH-2017-124.- 2017-09-27 - 43 p. - Published in : Phys. Rev. D 96 (2017) 065024 Fulltext: arXiv:1706.09929 - PDF; 10.1103_PhysRevD.96.065024 - PDF;
7.
High-Precision Calculations in Strongly Coupled Quantum Field Theory with Next-to-Leading-Order Renormalized Hamiltonian Truncation / Elias-Miro, Joan (INFN, Trieste ; SISSA, Trieste) ; Rychkov, Slava (Ecole Normale Superieure ; CERN) ; Vitale, Lorenzo G. (ITPP, Lausanne ; Boston U.)
Hamiltonian Truncation (a.k.a. Truncated Spectrum Approach) is an efficient numerical technique to solve strongly coupled QFTs in d=2 spacetime dimensions. [...]
arXiv:1706.06121; CERN-TH-2017-132.- 2017-10-31 - 14 p. - Published in : JHEP 10 (2017) 213 Article from SCOAP3: PDF; Fulltext: PDF;
8.
Cut-touching linear functionals in the conformal bootstrap / Qiao, Jiaxin (Ecole Normale Superieure ; UPMC, Paris (main) ; CERN) ; Rychkov, Slava (Ecole Normale Superieure ; UPMC, Paris (main) ; CERN)
The modern conformal bootstrap program often employs the method of linear functionals to derive the numerical or analytical bounds on the CFT data. These functionals must have a crucial "swapping" property, allowing to swap infinite summation with the action of the functional in the conformal bootstrap sum rule. [...]
arXiv:1705.01357; CERN-PH-TH-2017-098; CERN-TH-2017-098.- 2017-06-14 - 18 p. - Published in : JHEP 06 (2017) 076 Article from SCOAP3: scoap3-fulltext - PDF; scoap - PDF; Fulltext: PDF;
9.
A scaling theory for the long-range to short-range crossover and an infrared duality / Behan, Connor (YITP, Stony Brook) ; Rastelli, Leonardo (YITP, Stony Brook) ; Rychkov, Slava (CERN ; Ecole Normale Superieure) ; Zan, Bernardo (CERN ; ITPP, Lausanne)
We study the second-order phase transition in the $d$-dimensional Ising model with long-range interactions decreasing as a power of the distance $1/r^{d+s}$. For $s$ below some known value $s_*$, the transition is described by a conformal field theory without a local stress tensor operator, with critical exponents varying continuously as functions of $s$. [...]
arXiv:1703.05325; CERN-TH-2017-052; YITP-SB-17-13; CERN-PH-TH-2017-052.- 2017-08-04 - 48 p. - Published in : J. Phys. A 50 (2017) 354002 Fulltext: PDF;
10.
Long-range critical exponents near the short-range crossover / Behan, Connor (YITP, Stony Brook) ; Rastelli, Leonardo (YITP, Stony Brook) ; Rychkov, Slava (CERN ; Ecole Normale Superieure ; UPMC, Paris (main)) ; Zan, Bernardo (ITPP, Lausanne ; CERN)
The $d$-dimensional long-range Ising model, defined by spin-spin interactions decaying with the distance as the power $1/r^{d+s}$, admits a second order phase transition with continuously varying critical exponents. At $s = s_*$, the phase transition crosses over to the usual short-range universality class. [...]
arXiv:1703.03430; YITP-SB-17-12; CERN-TH-2017-058; CERN-PH-TH-2017-058.- 2017-06-15 - 5 p. - Published in : Phys. Rev. Lett. 118 (2017) 241601 Fulltext: arXiv:1703.03430 - PDF; 10.1103_PhysRevLett.118.241601 - PDF;

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