Seminario Jacopo Borga, Martedì 11 Febbraio, Sapienza Università di Roma
Segnalo il seguente seminario, che si terrà Martedì prossimo in Sapienza. *Martedì 11 Febbraio, ore 14:00,* Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma *Speaker:* Jacopo Borga (MIT) *Title: *Lattice Yang-Mills theory in the large N limit via sums over surfaces *Abstract:* Lattice Yang-Mills theories are important models in particle physics. They are defined on the d-dimensional lattice Z^d using a group of matrices of dimension N, and Wilson loop expectations are the fundamental observables of these theories. Recently, Cao, Park, and Sheffield showed that Wilson loop expectations can be expressed as sums over certain embedded bipartite maps of any genus. Building on this novel approach, we prove in the so-called strongly coupled regime: - A rigorous formula in terms of embedded bipartite planar maps of Wilson loop expectations in the large N limit, in any dimension d. - An exact computation of Wilson loop expectations in the large N limit, in dimension d=2, for a large family of (simple and non-simple) loops. Previous results to the two aforementioned points were previously established by Chatterjee (2019) and Basu & Ganguly (2016), respectively. Our results extend these previous results, offer simpler proofs and provide a new perspective on these significant quantities. This work is a collaboration with Sky Cao and Jasper Shogren-Knaak. ******************************** Vittoria Silvestri Assistant Professor Department of Mathematics University "La Sapienza" Piazzale Aldo Moro, 5 00185 - Rome ********************************
Ricordo il seminario di oggi di Jacopo Borga (MIT) a Sapienza alle 14:00, e segnalo che sarà trasmesso in streaming su zoom, link di seguito. Vittoria Silvestri -- VITTORIA SILVESTRI is inviting you to a scheduled Zoom meeting. Topic: Jacopo Borga (MIT) - Sapienza Probability Seminar Time: Feb 11, 2025 02:00 PM Rome Join Zoom Meeting https://uniroma1.zoom.us/j/82096188736?pwd=b0ET1azInfEnR0eiITSdWrya3vRZbI.1 Meeting ID: 820 9618 8736 Passcode: 241411 --- One tap mobile +13126266799,,82096188736# US (Chicago) +13462487799,,82096188736# US (Houston) --- Dial by your location • +1 312 626 6799 US (Chicago) • +1 346 248 7799 US (Houston) • +1 360 209 5623 US • +1 386 347 5053 US • +1 507 473 4847 US • +1 564 217 2000 US • +1 646 931 3860 US • +1 669 444 9171 US • +1 669 900 6833 US (San Jose) • +1 689 278 1000 US • +1 719 359 4580 US • +1 929 436 2866 US (New York) • +1 253 205 0468 US • +1 253 215 8782 US (Tacoma) • +1 301 715 8592 US (Washington DC) • +1 305 224 1968 US • +1 309 205 3325 US Meeting ID: 820 9618 8736 Find your local number: https://uniroma1.zoom.us/u/kcyb9BZ4Lf ******************************** Vittoria Silvestri Assistant Professor Department of Mathematics University "La Sapienza" Piazzale Aldo Moro, 5 00185 - Rome ******************************** Il giorno mer 5 feb 2025 alle ore 11:26 Silvestri, Vittoria < silvestri@mat.uniroma1.it> ha scritto:
Segnalo il seguente seminario, che si terrà Martedì prossimo in Sapienza.
*Martedì 11 Febbraio, ore 14:00,* Sala di Consiglio, Dipartimento di Matematica, Sapienza Università di Roma
*Speaker:* Jacopo Borga (MIT)
*Title: *Lattice Yang-Mills theory in the large N limit via sums over surfaces
*Abstract:* Lattice Yang-Mills theories are important models in particle physics. They are defined on the d-dimensional lattice Z^d using a group of matrices of dimension N, and Wilson loop expectations are the fundamental observables of these theories. Recently, Cao, Park, and Sheffield showed that Wilson loop expectations can be expressed as sums over certain embedded bipartite maps of any genus. Building on this novel approach, we prove in the so-called strongly coupled regime:
- A rigorous formula in terms of embedded bipartite planar maps of Wilson loop expectations in the large N limit, in any dimension d. - An exact computation of Wilson loop expectations in the large N limit, in dimension d=2, for a large family of (simple and non-simple) loops.
Previous results to the two aforementioned points were previously established by Chatterjee (2019) and Basu & Ganguly (2016), respectively. Our results extend these previous results, offer simpler proofs and provide a new perspective on these significant quantities.
This work is a collaboration with Sky Cao and Jasper Shogren-Knaak.
******************************** Vittoria Silvestri
Assistant Professor Department of Mathematics University "La Sapienza" Piazzale Aldo Moro, 5 00185 - Rome ********************************
participants (1)
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Silvestri, Vittoria