Outputs (40)

Canonical quantization of lattice Chern-Simons theory (2024)
Journal Article
Jacobson, T., & Sulejmanpasic, T. (2024). Canonical quantization of lattice Chern-Simons theory. Journal of High Energy Physics, 2024(11), Article 87. https://doi.org/10.1007/jhep11%282024%29087

We discuss the canonical quantization of U(1)k Chern-Simons theory on a spatial lattice. In addition to the usual local Gauss law constraints, the physical Hilbert space is defined by 1-form gauge constraints implementing the compactness of the U(1)... Read More about Canonical quantization of lattice Chern-Simons theory.

Remarks on QCD 4 with fundamental and adjoint matter (2023)
Journal Article
Anber, M. M., Lohitsiri, N., & Sulejmanpasic, T. (2023). Remarks on QCD 4 with fundamental and adjoint matter. Journal of High Energy Physics, 2023(12), Article 63. https://doi.org/10.1007/jhep12%282023%29063

We study 4-dimensional SU(N) gauge theory with one adjoint Weyl fermion and fundamental matter — either bosonic or fermionic. Symmetries, their ’t Hooft anomalies, and the Vafa-Witten-Weingarten theorems strongly constrain the possible bulk phases. T... Read More about Remarks on QCD 4 with fundamental and adjoint matter.

Modified Villain formulation of Abelian Chern-Simons theory (2023)
Journal Article
Jacobson, T., & Sulejmanpasic, T. (2023). Modified Villain formulation of Abelian Chern-Simons theory. Physical Review D, 107(12), Article 125017. https://doi.org/10.1103/physrevd.107.125017

We formulate U(1)k Chern-Simons theory on a Euclidean spacetime lattice using the modified Villain approach. Various familiar aspects of continuum Chern-Simons theory such as level quantization, framing, the discrete 1-form symmetry and its ’t Hooft... Read More about Modified Villain formulation of Abelian Chern-Simons theory.

Lattice quantum Villain Hamiltonians: compact scalars, U(1) gauge theories, fracton models and quantum Ising model dualities (2023)
Journal Article
Fazza, L., & Sulejmanpasic, T. (2023). Lattice quantum Villain Hamiltonians: compact scalars, U(1) gauge theories, fracton models and quantum Ising model dualities. Journal of High Energy Physics, 2023(5), Article 17. https://doi.org/10.1007/jhep05%282023%29017

We construct Villain Hamiltonians for compact scalars and abelian gauge theories. The Villain integers are promoted to integral spectrum operators, whose canonical conjugates are naturally compact scalars. Further, depending on the theory, these conj... Read More about Lattice quantum Villain Hamiltonians: compact scalars, U(1) gauge theories, fracton models and quantum Ising model dualities.

Comments on QCD3 and anomalies with fundamental and adjoint matter (2022)
Journal Article
Lohitsiri, N., & Sulejmanpasic, T. (2022). Comments on QCD3 and anomalies with fundamental and adjoint matter. Journal of High Energy Physics, 2022(10), Article 81. https://doi.org/10.1007/jhep10%282022%29081

’t Hooft anomaly matching is powerful for constraining the low energy phases of gauge theories. In 3d one common anomaly is the parity anomaly in a T-symmetric theory where one cannot gauge the global symmetry group without breaking the time-reversal... Read More about Comments on QCD3 and anomalies with fundamental and adjoint matter.

Numerical simulation of self-dual U(1) lattice field theory with electric and magnetic matter (2022)
Presentation / Conference Contribution
Anosova, M., Gattringer, C., Iqbal, N., & Sulejmanpasic, T. (2022, December). Numerical simulation of self-dual U(1) lattice field theory with electric and magnetic matter. Presented at Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021)

We study a recently proposed formulation of U(1) lattice field theory with electric and magnetic matter based on the Villain formulation. This discretization allows for a duality that gives rise to relations between weak and strong gauge coupling. Th... Read More about Numerical simulation of self-dual U(1) lattice field theory with electric and magnetic matter.

Phase structure of self-dual lattice gauge theories in 4d (2022)
Journal Article
Anosova, M., Gattringer, C., Iqbal, N., & Sulejmanpasic, T. (2022). Phase structure of self-dual lattice gauge theories in 4d. Journal of High Energy Physics, 2022(6), Article 149. https://doi.org/10.1007/jhep06%282022%29149

We discuss U(1) lattice gauge theory models based on a modified Villain formulation of the gauge action, which allows coupling to bosonic electric and magnetic matter. The formulation enjoys a duality which maps electric and magnetic sectors into eac... Read More about Phase structure of self-dual lattice gauge theories in 4d.

Self-dual U(1) lattice field theory with a θ-term (2022)
Journal Article
Anosova, M., Gattringer, C., & Sulejmanpasic, T. (2022). Self-dual U(1) lattice field theory with a θ-term. Journal of High Energy Physics, 2022(4), Article 120. https://doi.org/10.1007/jhep04%282022%29120

We study U(1) gauge theories with a modified Villain action. Such theories can naturally be coupled to electric and magnetic matter, and display exact electric-magnetic duality. In their simplest formulation without a θ-term, such theories are ultra-... Read More about Self-dual U(1) lattice field theory with a θ-term.

Ising model as a U(1) lattice gauge theory with a θ -term (2021)
Journal Article
Sulejmanpasic, T. (2021). Ising model as a U(1) lattice gauge theory with a θ -term. Physical Review D, 103(3), Article 034512. https://doi.org/10.1103/physrevd.103.034512

We discuss a gauged XY model a θ -term on an arbitrary lattice in 1 + 1 dimensions and show that the theory reduces exactly to the 2d Ising model on the dual lattice in the limit of the strong gauge coupling, provided that the topological term is def... Read More about Ising model as a U(1) lattice gauge theory with a θ -term.

First-Principles Simulations of 1+1D Quantum Field Theories at θ=π and Spin Chains (2020)
Journal Article
Sulejmanpasic, T., Göschl, D., & Gattringer, C. (2020). First-Principles Simulations of 1+1D Quantum Field Theories at θ=π and Spin Chains. Physical Review Letters, 125(20), Article 201602. https://doi.org/10.1103/physrevlett.125.201602

We present a lattice study of a 2-flavor U(1) gauge-Higgs model quantum field theory with a topological term at θ = π. Such studies are prohibitively costly in the standard lattice formulation due to the sign problem. Using a novel discretization of... Read More about First-Principles Simulations of 1+1D Quantum Field Theories at θ=π and Spin Chains.