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We derived an exact formula for radiated energy from accelerating quarks in N=2 superconformal theories. This formula predicts perturbative and instanton corrections, matching N=4 theories.

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Area of Science:

  • High-energy theoretical physics
  • Quantum field theory
  • Supersymmetry

Background:

  • Understanding particle acceleration in quantum field theories is crucial.
  • Superconformal theories, particularly N=2 and N=4, offer unique frameworks for studying such phenomena.
  • The energy radiated by accelerating quarks is a key observable.

Purpose of the Study:

  • To propose an exact formula for the energy radiated by an accelerating quark in four-dimensional N=2 superconformal theories.
  • To establish a predictive framework for perturbative and instanton corrections in these theories.
  • To verify the formula against known results and perform perturbative checks.

Main Methods:

  • Derivation of an exact formula using theoretical physics principles.
  • Comparison with the known bremsstrahlung function in N=4 superconformal theories.
  • Perturbative calculations up to three-loop order to check the proposed formula.

Main Results:

  • An exact formula for radiated energy in N=2 superconformal theories has been proposed.
  • The formula successfully reproduces the bremsstrahlung function for N=4 theories.
  • Predictions for all perturbative and instanton corrections in N=2 theories are provided.

Conclusions:

  • The proposed exact formula offers a significant advancement in understanding particle radiation in supersymmetric quantum field theories.
  • This work provides a testable prediction for future experimental and theoretical investigations.
  • The consistency with N=4 theories suggests the generality and robustness of the approach.