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In this lecture at a school for condensed matter physicists, I begin with basic concepts and tools for investigating phase transitions in quantum field theory. The very different roles of global and gauge symmetries in phase transitions…

Astrophysics · Physics 2007-05-23 Norbert Straumann

We study the electroweak phase transition in an effective 3-dimensional theory for a Higgs mass of about 70 GeV by Monte Carlo simulations. The transition temperature and jumps of order parameters are obtained and extrapolated to the…

High Energy Physics - Lattice · Physics 2009-10-28 M. Gürtler , E. -M. Ilgenfritz , J. Kripfganz , H. Perlt , A. Schiller

The commonly assumed cosmological history of our universe is that at early-times and high-temperatures the universe went through an ElectroWeak Phase Transition (EWPT). Assuming an EWPT, and depending on its strength, there are many…

High Energy Physics - Phenomenology · Physics 2019-02-06 Patrick Meade , Harikrishnan Ramani

Making use of a dimensionally-reduced effective theory at high temperature, we perform a nonperturbative study of the electroweak phase transition in the Two Higgs Doublet model. We focus on two phenomenologically allowed points in the…

High Energy Physics - Phenomenology · Physics 2019-07-24 Kimmo Kainulainen , Venus Keus , Lauri Niemi , Kari Rummukainen , Tuomas V. I. Tenkanen , Ville Vaskonen

In this letter we present the results of our numerical simulations for the finite temperature electroweak phase transition using the SU(2)-Higgs model on four-dimensional lattices at $m_H \approx 80$ GeV. The temporal extension $L_t=2$ is…

High Energy Physics - Lattice · Physics 2009-10-31 F. Csikor , Z. Fodor , J. Heitger

Guided by previous non-perturbative lattice simulations of a two-step electroweak phase transition, we reformulate the perturbative analysis of equilibrium thermodynamics for generic cosmological phase transitions in terms of effective…

High Energy Physics - Phenomenology · Physics 2023-09-06 Oliver Gould , Tuomas V. I. Tenkanen

We study the thermodynamics of the electroweak theory at a finite lepton number density. The phase diagram of the theory is calculated by relating the full 4-dimensional theory to a 3-dimensional effective theory which has been previously…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Gynther

In a series of two papers, we make a comparative analysis of the performance of conventional perturbation theory to analyze electroweak phase transition in the real triplet extension of Standard Model ($\Sigma$SM). In Part I (this paper),…

High Energy Physics - Phenomenology · Physics 2019-08-14 Lauri Niemi , Hiren H. Patel , Michael J. Ramsey-Musolf , Tuomas V. I. Tenkanen , David J. Weir

The finite temperature phase transition in the SU(2) Higgs model at a Higgs boson mass $M_H \simeq 34$ GeV is studied in numerical simulations on four-dimensional lattices with time-like extensions up to $L_t=5$. The effects of the finite…

High Energy Physics - Lattice · Physics 2009-10-28 F. Csikor , Z. Fodor , J. Hein , A. Jaster , I. Montvay

Phase transitions induced by high temperatures and strong magnetic fields are investigated in the Standard model. The consistent effective potential including the one-loop and ring diagram contributions is calculated and investigated for…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Skalozub , M. Bordag

The electroweak phase transition is investigated near to its endpoint in the framework of an effective three-dimensional model. We measure the very weak interface tension with the tunneling correlation length method. First results for the…

High Energy Physics - Lattice · Physics 2009-10-30 M. Gürtler , E. -M. Ilgenfritz , A. Schiller , C. Strecha

In our nonperturbative lattice investigation we study the interface tension of the finite-temperature electroweak phase transition. In this analysis the Higgs mass has been chosen to be about $35$ GeV. At the transition point of a finite…

High Energy Physics - Lattice · Physics 2009-10-28 F. Csikor , Z. Fodor , J. Hein , J. Heitger

We compute higher order contributions to the free energy of noncommutative quantum electrodynamics at a nonzero temperature $T$. Our calculation includes up to three-loop contributions (fourth order in the coupling constant $e$). In the…

High Energy Physics - Theory · Physics 2009-09-29 F. T. Brandt , J. Frenkel , C. M. Muramoto

Examining the reverse evolution of the universe from the present, long before reaching Planck density dynamics one expects major modifications from the de-coherent thermal equations of state, suggesting a prior phase that has macroscopic…

Astrophysics · Physics 2007-05-23 James V. Lindesay , H. Pierre Noyes

We present the first end-to-end nonperturbative analysis of the gravitational wave power spectrum from a thermal first-order electroweak phase transition (EWPT), using the framework of dimensionally reduced effective field theory and…

High Energy Physics - Phenomenology · Physics 2019-12-18 Oliver Gould , Jonathan Kozaczuk , Lauri Niemi , Michael J. Ramsey-Musolf , Tuomas V. I. Tenkanen , David J. Weir

In many extensions of the Standard Model electroweak phase transitions at high temperatures can be described in a minimal dimensionally reduced effective theory with SU(2) gauge field and fundamental Higgs scalar. In this effective theory,…

High Energy Physics - Phenomenology · Physics 2026-01-16 Jaakko Annala , Kari Rummukainen , Tuomas V. I. Tenkanen

We give a more precise characterisation of the end of the electroweak phase transition in the framework of the effective 3d SU(2)--Higgs lattice model than has been given before. The model has now been simulated at gauge couplings beta_G=12…

High Energy Physics - Lattice · Physics 2014-11-17 M. Gürtler , E. -M. Ilgenfritz , A. Schiller

We perform a nonperturbative study of the electroweak phase transition (EWPT) in the two Higgs doublet model (2HDM) by deriving a dimensionally reduced high-temperature effective theory for the model, and matching to known results for the…

High Energy Physics - Phenomenology · Physics 2018-11-21 Jens O. Andersen , Tyler Gorda , Andreas Helset , Lauri Niemi , Tuomas V. I. Tenkanen , Anders Tranberg , Aleksi Vuorinen , David J. Weir

We provide the first certificate of the gauge-independent bubble nucleation at the electroweak phase transition with the standard model effective field theory. Taking advantage of the thermal effective field theory framework, with the power…

High Energy Physics - Phenomenology · Physics 2025-12-08 Jie Liu , Renhui Qin , Ligong Bian

Non-perturbative lattice simulations have shown that there is no electroweak phase transition in the Standard Model for the allowed Higgs masses, m_H \gsim 75 GeV. In the Minimal Supersymmetric Standard Model, in contrast, it has been…

High Energy Physics - Phenomenology · Physics 2011-05-05 M. Laine , K. Rummukainen