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SUMMARY:Lattice Gauge Theory - An Introduction &amp\; Approach Based on Fe
 rmionic Tensor Networks - Ariel Kelman
DTSTART:20250320T141500Z
DTEND:20250320T151500Z
UID:TALK229591@talks.cam.ac.uk
CONTACT:Laurens Lootens
DESCRIPTION:One of the most fruitful approaches to studying quantum field 
 theory (QFT) has been lattice gauge theory (LGT)\, with Hamiltonian formul
 ations growing in popularity as an approach to the quantum simulation of s
 uch systems. In this talk\, we will give an introduction to LGTs\, explain
  why tensor networks are a fruitful way to study such systems\, and presen
 t recent progress in the study of Hamiltonian LGTs using tensor networks. 
 We will show how one can construct "gauge invariant states" (think of stat
 es that obey Gauss's Law in electromagnetism)\, and how to use a variation
 al Monte Carlo approach to find the ground states of Hamiltonian LGTs. Thi
 s approach can work in an arbitrary number of spacetime dimensions\, and c
 an be generalized to work with arbitrary gauge groups\, including those wh
 ich are relevant for studying the standard model. We will discuss recent p
 rogress in simulating regimes that are known to suffer from the "sign prob
 lem".
LOCATION:MR2
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