BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Christian Brennecke (University of Bonn) DTSTART:20260310T130000Z DTEND:20260310T150000Z DTSTAMP:20260314T080552Z UID:PSMQFT/1 DESCRIPTION:Title: O n the Leading Order Term of the Lattice Yang-Mills Free Energy\nby Chr istian Brennecke (University of Bonn) as part of Probability\, Statistical Mechanics and Quantum Fields\n\nLecture held in 132\, via Bonomea 265\, S ISSA\, Trieste.\n\nAbstract\nIn a recent paper\, S. Chatterjee determined the leading order term of the free energy of U(N) lattice Yang-Mills theor y in $\\Lambda_n=\\{0\,\\ldots\,n\\}^d\\subset \\bZ^d$\, for every $N\\geq 1$ and $d\\geq 2$. The formula is explicit apart from a contribution $K_d $ which corresponds to the limiting free energy of lattice Maxwell theory with boundary conditions induced by the axial gauge. After a brief motivat ion\, I recall some of the key steps to obtain the leading order term of t he free energy and I explain an equivalent characterization of $K_d$ that admits its explicit computation\, for every $d\\geq 2$.\n LOCATION:https://researchseminars.org/talk/PSMQFT/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Giorgio Cipolloni (University of Rome Tor Vergata) DTSTART:20260324T130000Z DTEND:20260324T150000Z DTSTAMP:20260314T080552Z UID:PSMQFT/2 DESCRIPTION:Title: A tale of large random matrices and logarithmically correlated fields (part 1)\nby Giorgio Cipolloni (University of Rome Tor Vergata) as part of Probability\, Statistical Mechanics and Quantum Fields\n\n\nAbstract\nWe w ill review recent results in random matrix theory\, with a focus on spectr al properties of large non-Hermitian matrices with independent\, identical ly distributed entries.\nWe will then discuss an intriguing connection of such matrices with the theory of logarithmically correlated fields and wit h the fluctuations of their extremes.\n LOCATION:https://researchseminars.org/talk/PSMQFT/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Nikolay Barashkov (Max Planck Institute\, Leipzig) DTSTART:20260331T120000Z DTEND:20260331T140000Z DTSTAMP:20260314T080552Z UID:PSMQFT/3 DESCRIPTION:by Nikolay Barashkov (Max Planck Institute\, Leipzig) as part of Probability\, Statistical Mechanics and Quantum Fields\n\nAbstract: TBA \n LOCATION:https://researchseminars.org/talk/PSMQFT/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Malin Forsstrom (Chalmers University of Technology) DTSTART:20260512T120000Z DTEND:20260512T140000Z DTSTAMP:20260314T080552Z UID:PSMQFT/4 DESCRIPTION:by Malin Forsstrom (Chalmers University of Technology) as part of Probability\, Statistical Mechanics and Quantum Fields\n\nAbstract: TB A\n LOCATION:https://researchseminars.org/talk/PSMQFT/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Lucas Broux (SISSA) DTSTART:20260205T130000Z DTEND:20260205T150000Z DTSTAMP:20260314T080552Z UID:PSMQFT/5 DESCRIPTION:Title: A geometric view upon the renormalisation of stochastic PDEs: the example o f $\\Phi^4$\nby Lucas Broux (SISSA) as part of Probability\, Statistic al Mechanics and Quantum Fields\n\nLecture held in 004 via Bonomea 265\, S ISSA.\n\nAbstract\nIn this talk\, I wish to present some ideas concerning the well-posedness of the $\\Phi^4$ equation\, which is a stochastic parti al differential equation (SPDE) with a cubic nonlinearity and perturbed by an additive random (and rough) noise. More precisely\, we are interested in the range of noises where this SPDE is singular (i.e. is classically il l-posed) but subcritical (i.e. the nonlinearity formally vanishes at small scales). In this range\, even giving a meaning to the equation is highly non-trivial and relies on an appropriate procedure of regularisation and r enormalisation\, as was first understood by Da Prato and Debussche (2003) and later widely generalised by several approaches including Hairer's theo ry of regularity structures (2014).\nI will\, on the one hand\, introduce some of the important insights in the theory of singular SPDEs\, and\, on the other hand\, present some more recent contributions. In particular\, I will be describing how taking a geometric viewpoint upon the solution man ifold gives rise to a new perspective on what in the theory of regularity structures is called a ``model'' for the equation. If time permits\, I wil l also briefly present a recently-developed ``intrinsic'' approach for the actual solution theory\, yielding well-posedness of the equation given th is model as input.\n(Based on joint works with Felix Otto\, Rhys Steele an d Markus Tempelmayr).\n\nThe talk is in room 004 on ground floor of SISSA\ , via Bonomean 265. Zoom access is also provided.\n LOCATION:https://researchseminars.org/talk/PSMQFT/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Leonardo Goller (SISSA) DTSTART:20260219T100000Z DTEND:20260219T120000Z DTSTAMP:20260314T080552Z UID:PSMQFT/6 DESCRIPTION:Title: L ong Range Order in a Euclidean Gross-Neveu model on the lattice\nby Le onardo Goller (SISSA) as part of Probability\, Statistical Mechanics and Q uantum Fields\n\n\nAbstract\nThe Gross–Neveu (GN) model is a quantum fie ld theory in $1+1$ dimensions describing $N$ massless Dirac fermions inter acting through an attractive four-fermion coupling. Introduced by Gross an d Neveu \\cite{PhysRevD.10.3235} as a toy model for QCD\, it shares two of its key features: asymptotic freedom and dynamical mass generation via sp ontaneous breaking of a $\\mathbb{Z}_2$ chiral symmetry\, allowing the fer mion bilinear $(\\overline{\\psi}\\psi)(x)$ to acquire a non-zero expectat ion value.\n\nIn this talk\, we rigorously prove that a Euclidean lattice formulation of the Gross–Neveu model introduced by Cohen\, Elitzur and R abinovici exhibits long-range order in the $\\mathbb{Z}_2$-charged fermion bilinear $\\overline{\\psi}\\psi$ for sufficiently large $N$ in two space time dimensions.\n\nThe proof relies on reflection positivity of the boson ized measure obtained via a Hubbard–Stratonovich transformation of the f ermionic action and\, in particular\, on chessboard estimates in the spiri t of Fröhlich and Lieb (1978).\n\nJoint work with Simone Fabbri (SISSA)\n LOCATION:https://researchseminars.org/talk/PSMQFT/6/ END:VEVENT BEGIN:VEVENT SUMMARY:Michael Hofstetter (Weizmann Institute) DTSTART:20260305T100000Z DTEND:20260305T120000Z DTSTAMP:20260314T080552Z UID:PSMQFT/7 DESCRIPTION:Title: A stochastic control approach to Euclidean field theories with exponential interaction\nby Michael Hofstetter (Weizmann Institute) as part of Pro bability\, Statistical Mechanics and Quantum Fields\n\nLecture held in Roo m 136\, via Bonomea 265\, SISSA.\n\nAbstract\nIn this talk\, I demonstrate how to obtain couplings of the Liouville field and the sinh-Gordon field with the Gaussian free field in dimension $d=2$\, such that the difference is in a Sobolev space of regularity $\\alpha>1$. The analysis covers the entire $L^2$ phase. The main tool is the variational approach to Euclidean field theories by Barashkov and Gubinelli applied to field theories with exponential interaction. The additional key ingredients are estimates for the short scales of the minimizer of the variational problem and several a pplications of the Brascamp-Lieb inequality.\n LOCATION:https://researchseminars.org/talk/PSMQFT/7/ END:VEVENT BEGIN:VEVENT SUMMARY:Simone Fabbri (SISSA) DTSTART:20260317T130000Z DTEND:20260317T150000Z DTSTAMP:20260314T080552Z UID:PSMQFT/8 DESCRIPTION:Title: N on-perturbative renormalization for lattice massive QED2: the ultraviolet problem\nby Simone Fabbri (SISSA) as part of Probability\, Statistical Mechanics and Quantum Fields\n\n\nAbstract\nI will consider a lattice reg ularization of the massive QED in 2d\, describing a Dirac fermion interact ing with a massive vector field\, in the regime in which the fermion mass is much smaller than the boson mass and the latter is much smaller than th e ultraviolet cut-off\, which is the suitable one to mimic a realistic 4d massive gauge theory like the Electroweak sector. The presence of the latt ice and of non-zero fermion mass breaks any solvability property. I will s how that the effective action obtained after the integration of the ultrav iolet degrees of freedom is expressed by expansions which are convergent f or values of the coupling (electric charge) independent on the fermion mas s and the ultraviolet cut-off\, and with cut-off-independent bare paramete rs. By combining this result with the analysis of the infrared part in pre vious papers we get a complete construction of the model and a number of p roperties whose analogous are expected to hold in 4d. As I will discuss\, the choice of lattice rather than momentum regularization\, essential for ensuring Ward Identities\, requires the development of new methods to get the necessary non-perturbative bounds. \nBased on a recent joint work with V. Mastropietro (Roma La Sapienza) and B. Renzi (SISSA).\n LOCATION:https://researchseminars.org/talk/PSMQFT/8/ END:VEVENT BEGIN:VEVENT SUMMARY:Marcello Dalmonte (ICTP) DTSTART:20260505T120000Z DTEND:20260505T140000Z DTSTAMP:20260314T080552Z UID:PSMQFT/9 DESCRIPTION:by Marcello Dalmonte (ICTP) as part of Probability\, Statistic al Mechanics and Quantum Fields\n\nAbstract: TBA\n LOCATION:https://researchseminars.org/talk/PSMQFT/9/ END:VEVENT BEGIN:VEVENT SUMMARY:Giorgio Cipolloni (University of Rome Tor Vergata) DTSTART:20260326T130000Z DTEND:20260326T150000Z DTSTAMP:20260314T080552Z UID:PSMQFT/10 DESCRIPTION:Title: A tale of large random matrices and logarithmically correlated fields (par t 2)\nby Giorgio Cipolloni (University of Rome Tor Vergata) as part of Probability\, Statistical Mechanics and Quantum Fields\n\n\nAbstract\nWe will review recent results in random matrix theory\, with a focus on spect ral properties of large non-Hermitian matrices with independent\, identica lly distributed entries.\nWe will then discuss an intriguing connection of such matrices with the theory of logarithmically correlated fields and wi th the fluctuations of their extremes.\n LOCATION:https://researchseminars.org/talk/PSMQFT/10/ END:VEVENT END:VCALENDAR